72164 has 6 divisors (see below), whose sum is σ = 126294. Its totient is φ = 36080.

The previous prime is 72161. The next prime is 72167. The reversal of 72164 is 46127.

It is an interprime number because it is at equal distance from previous prime (72161) and next prime (72167).

It can be written as a sum of positive squares in only one way, i.e., 43264 + 28900 = 208^2 + 170^2 .

It is not an unprimeable number, because it can be changed into a prime (72161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9017 + ... + 9024.

It is an arithmetic number, because the mean of its divisors is an integer number (21049).

2⁷²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

72164 is a deficient number, since it is larger than the sum of its proper divisors (54130).

72164 is a wasteful number, since it uses less digits than its factorization.

72164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18045 (or 18043 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 72164 is about 268.6335794349. The cubic root of 72164 is about 41.6332389671.

The spelling of 72164 in words is "seventy-two thousand, one hundred sixty-four".