72102164 has 12 divisors (see below), whose sum is σ = 127358784. Its totient is φ = 35713944.

The previous prime is 72102157. The next prime is 72102167. The reversal of 72102164 is 46120127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72102167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83804 + ... + 84659.

It is an arithmetic number, because the mean of its divisors is an integer number (10613232).

Almost surely, 2^72102164 is an apocalyptic number.

It is an amenable number.

72102164 is a deficient number, since it is larger than the sum of its proper divisors (55256620).

72102164 is a wasteful number, since it uses less digits than its factorization.

72102164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168574 (or 168572 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 72102164 is about 8491.2993116484. The cubic root of 72102164 is about 416.2134398416.

The spelling of 72102164 in words is "seventy-two million, one hundred two thousand, one hundred sixty-four".