72511881264 has 80 divisors (see below), whose sum is σ = 214850058240. Its totient is φ = 23390925120.

The previous prime is 72511881263. The next prime is 72511881269. The reversal of 72511881264 is 46218811527.

72511881264 is a `hidden beast` number, since 7 + 2 + 511 + 8 + 8 + 126 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (72511881263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2693892 + ... + 2720675.

It is an arithmetic number, because the mean of its divisors is an integer number (2685625728).

Almost surely, 2^72511881264 is an apocalyptic number.

It is an amenable number.

72511881264 is an abundant number, since it is smaller than the sum of its proper divisors (142338176976).

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

72511881264 is a wasteful number, since it uses less digits than its factorization.

72511881264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414615 (or 5414603 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 72511881264 in words is "seventy-two billion, five hundred eleven million, eight hundred eighty-one thousand, two hundred sixty-four".