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72085339092 = 223132291225691
BaseRepresentation
bin100001100100010011…
…1101111101111010100
320220001202021122022210
41003020213233233110
52140112321322332
653040542553420
75131225162314
oct1031047575724
9226052248283
1072085339092
1128631327208
1211b79298870
136a4a4a1300
1436bb967444
151d1d72decc
hex10c89efbd4

72085339092 has 72 divisors (see below), whose sum is σ = 188413374240. Its totient is φ = 21415255680.

The previous prime is 72085339091. The next prime is 72085339097. The reversal of 72085339092 is 29093358027.

It is a happy number.

It is a super-2 number, since 2×720853390922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72085339091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554034 + ... + 671657.

It is an arithmetic number, because the mean of its divisors is an integer number (2616852420).

Almost surely, 272085339092 is an apocalyptic number.

It is an amenable number.

72085339092 is an abundant number, since it is smaller than the sum of its proper divisors (116328035148).

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

72085339092 is a wasteful number, since it uses less digits than its factorization.

72085339092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225753 (or 1225738 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 72085339092 in words is "seventy-two billion, eighty-five million, three hundred thirty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 169 174 338 348 377 507 676 754 1014 1131 1508 2028 2262 4524 4901 9802 14703 19604 29406 58812 1225691 2451382 3677073 4902764 7354146 14708292 15933983 31867966 35545039 47801949 63735932 71090078 95603898 106635117 142180156 191207796 207141779 213270234 414283558 426540468 462085507 621425337 828567116 924171014 1242850674 1386256521 1848342028 2485701348 2772513042 5545026084 6007111591 12014223182 18021334773 24028446364 36042669546 72085339092