72079896 has 64 divisors (see below), whose sum is σ = 206599680. Its totient is φ = 20528640.

The previous prime is 72079879. The next prime is 72079897. The reversal of 72079896 is 69897027.

It is a super-2 number, since 2×72079896² = 10391022814741632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 (72079897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81376 + ... + 82256.

It is an arithmetic number, because the mean of its divisors is an integer number (3228120).

Almost surely, 2^72079896 is an apocalyptic number.

It is an amenable number.

72079896 is an abundant number, since it is smaller than the sum of its proper divisors (134519784).

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

72079896 is a wasteful number, since it uses less digits than its factorization.

72079896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 72079896 is about 8489.9879858572. The cubic root of 72079896 is about 416.1705877058.

The spelling of 72079896 in words is "seventy-two million, seventy-nine thousand, eight hundred ninety-six".