72864012 has 144 divisors (see below), whose sum is σ = 203320320. Its totient is φ = 20217600.

The previous prime is 72863983. The next prime is 72864061. The reversal of 72864012 is 21046827.

It is a super-2 number, since 2×72864012² = 10618328489472288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1194462 + ... + 1194522.

Almost surely, 2^72864012 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 72864012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101660160).

72864012 is an abundant number, since it is smaller than the sum of its proper divisors (130456308).

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

72864012 is a wasteful number, since it uses less digits than its factorization.

72864012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 72864012 is about 8536.0419399157. The cubic root of 72864012 is about 417.6742423528.

The spelling of 72864012 in words is "seventy-two million, eight hundred sixty-four thousand, twelve".