72316564 has 12 divisors (see below), whose sum is σ = 126777364. Its totient is φ = 36094464.

The previous prime is 72316561. The next prime is 72316567. The reversal of 72316564 is 46561327.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72316561) and next prime (72316567).

It can be written as a sum of positive squares in 2 ways, for example, as 72114064 + 202500 = 8492^2 + 450^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72316561) 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, 13359 + ... + 17974.

Almost surely, 2^72316564 is an apocalyptic number.

It is an amenable number.

72316564 is a deficient number, since it is larger than the sum of its proper divisors (54460800).

72316564 is a wasteful number, since it uses less digits than its factorization.

72316564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31914 (or 31912 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 72316564 is about 8503.9146279816. The cubic root of 72316564 is about 416.6255766058.

The spelling of 72316564 in words is "seventy-two million, three hundred sixteen thousand, five hundred sixty-four".