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72225576027 = 3211282180783
BaseRepresentation
bin100001101000011111…
…0101101010001011011
320220102112011102020100
41003100332231101123
52140404221413102
653102512430443
75134550160333
oct1032076552133
9226375142210
1072225576027
11286a3500300
1211bb8248423
136a70562447
1436d24300c3
151d2abd0a1c
hex10d0fad45b

72225576027 has 36 divisors (see below), whose sum is σ = 114813290592. Its totient is φ = 43719218400.

The previous prime is 72225576019. The next prime is 72225576041. The reversal of 72225576027 is 72067552227.

72225576027 is a `hidden beast` number, since 72 + 2 + 2 + 5 + 576 + 0 + 2 + 7 = 666.

It is not a de Polignac number, because 72225576027 - 23 = 72225576019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72225536027) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 853678 + ... + 934460.

It is an arithmetic number, because the mean of its divisors is an integer number (3189258072).

Almost surely, 272225576027 is an apocalyptic number.

72225576027 is a deficient number, since it is larger than the sum of its proper divisors (42587714565).

72225576027 is a wasteful number, since it uses less digits than its factorization.

72225576027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81632 (or 81618 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 72225576027 in words is "seventy-two billion, two hundred twenty-five million, five hundred seventy-six thousand, twenty-seven".

Divisors: 1 3 9 11 33 99 121 363 821 1089 2463 7389 9031 27093 80783 81279 99341 242349 298023 727047 888613 894069 2665839 7997517 9774743 29324229 66322843 87972687 198968529 596905587 729551273 2188653819 6565961457 8025064003 24075192009 72225576027