72131164 has 12 divisors (see below), whose sum is σ = 144262384. Its totient is φ = 30913344.

The previous prime is 72131159. The next prime is 72131231. The reversal of 72131164 is 46113127.

72131164 is an admirable number.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1288029 + ... + 1288084.

Almost surely, 2^72131164 is an apocalyptic number.

It is an amenable number.

72131164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72131164 is a wasteful number, since it uses less digits than its factorization.

72131164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576124 (or 2576122 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 72131164 is about 8493.0067702787. The cubic root of 72131164 is about 416.2692336912.

The spelling of 72131164 in words is "seventy-two million, one hundred thirty-one thousand, one hundred sixty-four".