72027580164 has 48 divisors (see below), whose sum is σ = 169070872320. Its totient is φ = 23865513760.

The previous prime is 72027580133. The next prime is 72027580171. The reversal of 72027580164 is 46108572027.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7132759 + ... + 7142849.

It is an arithmetic number, because the mean of its divisors is an integer number (3522309840).

Almost surely, 2^72027580164 is an apocalyptic number.

It is an amenable number.

72027580164 is an abundant number, since it is smaller than the sum of its proper divisors (97043292156).

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

72027580164 is a wasteful number, since it uses less digits than its factorization.

72027580164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13600 (or 13598 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 72027580164 in words is "seventy-two billion, twenty-seven million, five hundred eighty thousand, one hundred sixty-four".