72078864 has 80 divisors (see below), whose sum is σ = 218777664. Its totient is φ = 20160000.

The previous prime is 72078863. The next prime is 72078869. The reversal of 72078864 is 46887027.

It is not an unprimeable number, because it can be changed into a prime (72078863) 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 in 15 ways as a sum of consecutive naturals, for example, 1614 + ... + 12114.

Almost surely, 2^72078864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72078864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109388832).

72078864 is an abundant number, since it is smaller than the sum of its proper divisors (146698800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72078864 is a wasteful number, since it uses less digits than its factorization.

72078864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10530 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 72078864 is about 8489.9272081685. The cubic root of 72078864 is about 416.1686015297.

The spelling of 72078864 in words is "seventy-two million, seventy-eight thousand, eight hundred sixty-four".