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72997405920 = 2532550692643
BaseRepresentation
bin100001111111011111…
…1000000010011100000
320222102022111102210200
41003332333000103200
52143444313442140
653311243425200
75162641466265
oct1037677002340
9228368442720
1072997405920
1128a5a15054a
1212192825200
136b6443121a
143766b4526c
151d73841030
hex10fefc04e0

72997405920 has 72 divisors (see below), whose sum is σ = 249103652616. Its totient is φ = 19465974528.

The previous prime is 72997405903. The next prime is 72997405951. The reversal of 72997405920 is 2950479927.

72997405920 is a `hidden beast` number, since 7 + 2 + 9 + 9 + 7 + 40 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25344882 + ... + 25347761.

It is an arithmetic number, because the mean of its divisors is an integer number (3459772953).

Almost surely, 272997405920 is an apocalyptic number.

It is an amenable number.

72997405920 is an abundant number, since it is smaller than the sum of its proper divisors (176106246696).

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

72997405920 is a wasteful number, since it uses less digits than its factorization.

72997405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50692664 (or 50692653 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 72997405920 in words is "seventy-two billion, nine hundred ninety-seven million, four hundred five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 50692643 101385286 152077929 202770572 253463215 304155858 405541144 456233787 506926430 608311716 760389645 811082288 912467574 1013852860 1216623432 1520779290 1622164576 1824935148 2027705720 2281168935 2433246864 3041558580 3649870296 4055411440 4562337870 4866493728 6083117160 7299740592 8110822880 9124675740 12166234320 14599481184 18249351480 24332468640 36498702960 72997405920