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72044930592 = 2532250156009
BaseRepresentation
bin100001100011000110…
…1100110011000100000
320212221221020200021200
41003012031212120200
52140022000234332
653032540521200
75130224543265
oct1030615463040
9225857220250
1072044930592
1128610537758
1211b67850200
136a41cc385b
1436b644926c
151d19deb17c
hex10c6366620

72044930592 has 36 divisors (see below), whose sum is σ = 204877772190. Its totient is φ = 24014976768.

The previous prime is 72044930549. The next prime is 72044930597. The reversal of 72044930592 is 29503944027.

72044930592 is a `hidden beast` number, since 7 + 20 + 4 + 4 + 9 + 30 + 592 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65804562576 + 6240368016 = 256524^2 + 78996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (72044930597) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125077717 + ... + 125078292.

Almost surely, 272044930592 is an apocalyptic number.

72044930592 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72044930592 is an abundant number, since it is smaller than the sum of its proper divisors (132832841598).

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

72044930592 is a wasteful number, since it uses less digits than its factorization.

72044930592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250156025 (or 250156014 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 72044930592 in words is "seventy-two billion, forty-four million, nine hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 250156009 500312018 750468027 1000624036 1500936054 2001248072 2251404081 3001872108 4002496144 4502808162 6003744216 8004992288 9005616324 12007488432 18011232648 24014976864 36022465296 72044930592