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72423563628 = 223133173320431
BaseRepresentation
bin100001101110011000…
…1111110000101101100
320220221022201020011110
41003130301332011230
52141310413014003
653134304152020
75142503063553
oct1033461760554
9226838636143
1072423563628
1128795239319
1212052608610
136aa2593780
14371084ad9a
151d3d28da03
hex10dcc7e16c

72423563628 has 96 divisors (see below), whose sum is σ = 188123471872. Its totient is φ = 21534854400.

The previous prime is 72423563609. The next prime is 72423563647. The reversal of 72423563628 is 82636532427.

It is an interprime number because it is at equal distance from previous prime (72423563609) and next prime (72423563647).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3534573 + ... + 3555003.

Almost surely, 272423563628 is an apocalyptic number.

72423563628 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72423563628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94061735936).

72423563628 is an abundant number, since it is smaller than the sum of its proper divisors (115699908244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72423563628 is a wasteful number, since it uses less digits than its factorization.

72423563628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21215 (or 21213 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The spelling of 72423563628 in words is "seventy-two billion, four hundred twenty-three million, five hundred sixty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 733 806 1209 1466 1612 2199 2418 2932 4398 4836 8796 9529 19058 20431 22723 28587 38116 40862 45446 57174 61293 68169 81724 90892 114348 122586 136338 245172 265603 272676 295399 531206 590798 633361 796809 886197 1062412 1181596 1266722 1593618 1772394 1900083 2533444 3187236 3544788 3800166 7600332 8233693 14975923 16467386 24701079 29951846 32934772 44927769 49402158 59903692 89855538 98804316 179711076 194686999 389373998 464253613 584060997 778747996 928507226 1168121994 1392760839 1857014452 2336243988 2785521678 5571043356 6035296969 12070593938 18105890907 24141187876 36211781814 72423563628