72922976564328 has 160 divisors (see below), whose sum is σ = 223183710905760. Its totient is φ = 22061821633920.

The previous prime is 72922976564239. The next prime is 72922976564371. The reversal of 72922976564328 is 82346567922927.

72922976564328 is a `hidden beast` number, since 7 + 2 + 9 + 2 + 29 + 7 + 6 + 564 + 32 + 8 = 666.

It is a super-4 number, since 4×72922976564328⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 39 ways as a sum of consecutive naturals, for example, 3975150 + ... + 12714077.

It is an arithmetic number, because the mean of its divisors is an integer number (1394898193161).

Almost surely, 2^{72922976564328} is an apocalyptic number.

It is an amenable number.

72922976564328 is an abundant number, since it is smaller than the sum of its proper divisors (150260734341432).

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

72922976564328 is a wasteful number, since it uses less digits than its factorization.

72922976564328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16689869 (or 16689856 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 72922976564328 in words is "seventy-two trillion, nine hundred twenty-two billion, nine hundred seventy-six million, five hundred sixty-four thousand, three hundred twenty-eight".