72734400 has 126 divisors (see below), whose sum is σ = 258566412. Its totient is φ = 19392000.

The previous prime is 72734393. The next prime is 72734411. The reversal of 72734400 is 443727.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11875 + ... + 16925.

Almost surely, 2^72734400 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 72734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129283206).

72734400 is an abundant number, since it is smaller than the sum of its proper divisors (185832012).

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

72734400 is a wasteful number, since it uses less digits than its factorization.

72734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 72734400 is about 8528.4465173911. The cubic root of 72734400 is about 417.4264395242.

The spelling of 72734400 in words is "seventy-two million, seven hundred thirty-four thousand, four hundred".