72788496 has 80 divisors (see below), whose sum is σ = 211795968. Its totient is φ = 21340800.

The previous prime is 72788483. The next prime is 72788531. The reversal of 72788496 is 69488727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14145 + ... + 18591.

Almost surely, 2^72788496 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 72788496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105897984).

72788496 is an abundant number, since it is smaller than the sum of its proper divisors (139007472).

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

72788496 is a wasteful number, since it uses less digits than its factorization.

72788496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 4494 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 72788496 is about 8531.6174316480. The cubic root of 72788496 is about 417.5299004486.

The spelling of 72788496 in words is "seventy-two million, seven hundred eighty-eight thousand, four hundred ninety-six".