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Lynch-Bell numbers
A number  $n$  is a Lynch-Bell number if its digits are all distinct and  $n$  is divisible by each digit.

There are exactly 548 such numbers, the largest being 9867312.

The first Lynch-Bell numbers greater than 9 are 12, 15, 24, 36, 48, 124, 126, 128, 132, 135, 162, 168, 175, 184, 216, 248, 264, 312, 315, 324, 384, 396, 412, 432, 612, 624, 648, 672, 728, 735, 784, 816, 824, 864 more terms

Pictorial representation of remainders (mod 2, 3, ...,11) frequency. For a table of values and more details click here
remainders of Lynch-Bell numbers

A graph displaying how many Lynch-Bell numbers are multiples of the primes p from 2 to 71. In black the ideal line 1/p.
divisibility of Lynch-Bell numbers
Useful links OEIS, Sequence A115569
Lynch-Bell numbers can also be... (you may click on names or numbers and on + to get more values)

ABA 24 128 162 324 + 9176328 aban 12 15 24 36 + 936 abundant 12 24 36 48 + 9867312 Achilles 432 648 864 6912 + 9176328 admirable 12 24 672 1362 + 4172 alternating 12 36 216 412 + 981432 amenable 12 24 36 48 + 9867312 apocalyptic 312 384 612 624 + 29736 arithmetic 15 126 132 135 + 9867312 astonishing 15 216 Bell 15 betrothed 48 binomial 15 36 126 816 + 416328 brilliant 15 cake 15 12384 canyon 216 312 315 324 + 984312 Catalan 132 compositorial 24 congruent 15 24 124 126 + 9812376 constructible 12 15 24 48 + 3264 cube 216 13824 Cunningham 15 24 48 124 + 1923768 Curzon 1926 9126 37926 cyclic 15 D-number 15 315 1935 d-powerful 24 132 135 175 + 2189376 decagonal 126 175 deficient 15 124 128 135 + 9315 dig.balanced 12 15 135 184 + 9812376 double fact. 15 48 384 droll 672 Duffinian 36 128 175 324 + 1382976 eban 36 economical 15 128 135 162 + 1687392 emirpimes 15 equidigital 15 135 162 175 + 1687392 eRAP 24 esthetic 12 432 evil 12 15 24 36 + 9867312 factorial 24 Friedman 126 128 216 1296 + 912384 frugal 128 13824 314928 1382976 gapful 132 135 264 315 + 9723168 happy 784 4172 4872 12384 + 864312 harmonic 672 Harshad 12 24 36 48 + 9867312 heptagonal 281736 hexagonal 15 1326 41328 highly composite 12 24 36 48 hoax 735 1824 18624 98136 + 2937816 iban 12 24 124 312 + 4172 iccanobiF 124 idoneal 12 15 24 48 + 312 impolite 128 inconsummate 216 432 612 816 + 984312 interprime 12 15 312 315 + 9617832 Jordan-Polya 12 24 36 48 + 18432 junction 216 315 412 612 + 9617328 katadrome 432 864 6432 9432 9864 Lehmer 15 lucky 15 135 735 1395 + 9315 magic 15 175 magnanimous 12 metadrome 12 15 24 36 + 1368 modest 412 824 1236 2436 + 312648 Moran 1236 1926 1962 2316 + 864312 mountain 132 162 175 184 + 1679832 nialpdrome 432 864 6432 9432 9864 nonagonal 24 396 nude 12 15 24 36 + 9867312 O'Halloran 12 36 oban 12 15 36 312 + 936 octagonal 936 3816 427896 odious 124 128 162 168 + 9782136 panconsummate 12 15 24 36 pandigital 15 135 216 3817296 partition 15 135 2436 pentagonal 12 1926 pernicious 12 24 36 48 + 9782136 Perrin 12 plaindrome 12 15 24 36 + 1368 power 36 128 216 324 + 1382976 powerful 36 128 216 324 + 9176328 practical 12 24 36 48 + 9867312 prim.abundant 12 1362 3126 4172 9135 productive 12 36 pronic 12 132 46872 613872 pseudoperfect 12 24 36 48 + 984312 repunit 15 Ruth-Aaron 15 24 126 self 132 312 648 1368 + 9812376 semiprime 15 Smith 648 728 1935 1962 + 9867312 sphenic 1362 3126 square 36 324 784 1296 + 1382976 straight-line 135 432 864 super Niven 12 24 36 48 super-d 784 1764 1926 13824 + 9867312 superabundant 12 24 36 48 tau 12 24 36 128 + 9781632 tetrahedral 816 3276 tetranacci 15 triangular 15 36 1326 37128 + 416328 tribonacci 24 trimorphic 24 624 uban 12 15 36 48 Ulam 36 48 126 175 + 9283176 unprimeable 324 624 1764 1926 + 9867312 untouchable 124 162 216 248 + 984312 upside-down 243768 623784 836472 vampire 1395 384912 wasteful 12 24 36 48 + 9867312 Zuckerman 12 15 24 36 + 1687392 Zumkeller 12 24 48 126 + 98136