72996864 has 72 divisors (see below), whose sum is σ = 196412580. Its totient is φ = 24109056.

The previous prime is 72996853. The next prime is 72996881. The reversal of 72996864 is 46869927.

It is a happy number.

Its product of digits (1306368) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 669642 + ... + 669750.

Almost surely, 2^72996864 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 72996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98206290).

72996864 is an abundant number, since it is smaller than the sum of its proper divisors (123415716).

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

72996864 is an equidigital number, since it uses as much as digits as its factorization.

72996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 114 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 72996864 is about 8543.8202228277. The cubic root of 72996864 is about 417.9279348914.

The spelling of 72996864 in words is "seventy-two million, nine hundred ninety-six thousand, eight hundred sixty-four".