72784760 has 32 divisors (see below), whose sum is σ = 166546800. Its totient is φ = 28619520.

The previous prime is 72784759. The next prime is 72784781. The reversal of 72784760 is 6748727.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13061 + ... + 17780.

Almost surely, 2^72784760 is an apocalyptic number.

It is an amenable number.

72784760 is an abundant number, since it is smaller than the sum of its proper divisors (93762040).

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

72784760 is a wasteful number, since it uses less digits than its factorization.

72784760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30911 (or 30907 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 72784760 is about 8531.3984785614. The cubic root of 72784760 is about 417.5227568362.

The spelling of 72784760 in words is "seventy-two million, seven hundred eighty-four thousand, seven hundred sixty".