72078964 has 24 divisors (see below), whose sum is σ = 133116480. Its totient is φ = 34081344.

The previous prime is 72078961. The next prime is 72078967. The reversal of 72078964 is 46987027.

It is an interprime number because it is at equal distance from previous prime (72078961) and next prime (72078967).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72078964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72078961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3787 + ... + 12589.

It is an arithmetic number, because the mean of its divisors is an integer number (5546520).

Almost surely, 2^72078964 is an apocalyptic number.

It is an amenable number.

72078964 is a deficient number, since it is larger than the sum of its proper divisors (61037516).

72078964 is a wasteful number, since it uses less digits than its factorization.

72078964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 72078964 is about 8489.9330974985. The cubic root of 72078964 is about 416.1687939894.

The spelling of 72078964 in words is "seventy-two million, seventy-eight thousand, nine hundred sixty-four".