72372164 has 6 divisors (see below), whose sum is σ = 126651294. Its totient is φ = 36186080.

The previous prime is 72372161. The next prime is 72372193. The reversal of 72372164 is 46127327.

It can be written as a sum of positive squares in only one way, i.e., 58369600 + 14002564 = 7640^2 + 3742^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72372164.

It is not an unprimeable number, because it can be changed into a prime (72372161) by changing a digit.

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 as a sum of consecutive naturals, namely, 9046517 + ... + 9046524.

It is an arithmetic number, because the mean of its divisors is an integer number (21108549).

Almost surely, 2^72372164 is an apocalyptic number.

It is an amenable number.

72372164 is a deficient number, since it is larger than the sum of its proper divisors (54279130).

72372164 is a wasteful number, since it uses less digits than its factorization.

72372164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093045 (or 18093043 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 72372164 is about 8507.1830825485. The cubic root of 72372164 is about 416.7323223116.

The spelling of 72372164 in words is "seventy-two million, three hundred seventy-two thousand, one hundred sixty-four".