72566518211136 has 84 divisors (see below), whose sum is σ = 208396526322192. Its totient is φ = 24142589132544.

The previous prime is 72566518210969. The next prime is 72566518211149. The reversal of 72566518211136 is 63111281566527.

72566518211136 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 6 + 518 + 2 + 1 + 113 + 6 = 666.

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, 120141906 + ... + 120744401.

Almost surely, 2^{72566518211136} is an apocalyptic number.

It is an amenable number.

72566518211136 is an abundant number, since it is smaller than the sum of its proper divisors (135830008111056).

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

72566518211136 is a wasteful number, since it uses less digits than its factorization.

72566518211136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240886848 (or 240886835 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 72566518211136 in words is "seventy-two trillion, five hundred sixty-six billion, five hundred eighteen million, two hundred eleven thousand, one hundred thirty-six".