72507384864 has 36 divisors (see below), whose sum is σ = 206192876526. Its totient is φ = 24169128192.

The previous prime is 72507384857. The next prime is 72507384919. The reversal of 72507384864 is 46848370527.

72507384864 is a `hidden beast` number, since 7 + 2 + 507 + 38 + 48 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36290250000 + 36217134864 = 190500^2 + 190308^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 72507384864.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125880589 + ... + 125881164.

Almost surely, 2^72507384864 is an apocalyptic number.

It is an amenable number.

72507384864 is an abundant number, since it is smaller than the sum of its proper divisors (133685491662).

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

72507384864 is a wasteful number, since it uses less digits than its factorization.

72507384864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251761769 (or 251761758 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 72507384864 in words is "seventy-two billion, five hundred seven million, three hundred eighty-four thousand, eight hundred sixty-four".