72135164 has 12 divisors (see below), whose sum is σ = 126336000. Its totient is φ = 36039168.

The previous prime is 72135157. The next prime is 72135179. The reversal of 72135164 is 46153127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 764 + ... + 12035.

It is an arithmetic number, because the mean of its divisors is an integer number (10528000).

Almost surely, 2^72135164 is an apocalyptic number.

It is an amenable number.

72135164 is a deficient number, since it is larger than the sum of its proper divisors (54200836).

72135164 is a wasteful number, since it uses less digits than its factorization.

72135164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212 (or 14210 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 72135164 is about 8493.2422548753. The cubic root of 72135164 is about 416.2769282209.

The spelling of 72135164 in words is "seventy-two million, one hundred thirty-five thousand, one hundred sixty-four".