72370688 has 80 divisors (see below), whose sum is σ = 158802336. Its totient is φ = 32747520.

The previous prime is 72370663. The next prime is 72370691. The reversal of 72370688 is 88607327.

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, 552383 + ... + 552513.

Almost surely, 2^72370688 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 72370688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79401168).

72370688 is an abundant number, since it is smaller than the sum of its proper divisors (86431648).

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

72370688 is a wasteful number, since it uses less digits than its factorization.

72370688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 72370688 is about 8507.0963318867. The cubic root of 72370688 is about 416.7294892653.

The spelling of 72370688 in words is "seventy-two million, three hundred seventy thousand, six hundred eighty-eight".