72501568 has 56 divisors (see below), whose sum is σ = 153111200. Its totient is φ = 33965568.

The previous prime is 72501553. The next prime is 72501577. The reversal of 72501568 is 86510527.

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, 132271 + ... + 132817.

Almost surely, 2^72501568 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 72501568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76555600).

72501568 is an abundant number, since it is smaller than the sum of its proper divisors (80609632).

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

72501568 is a wasteful number, since it uses less digits than its factorization.

72501568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 72501568 is about 8514.7852585958. The cubic root of 72501568 is about 416.9805518211.

The spelling of 72501568 in words is "seventy-two million, five hundred one thousand, five hundred sixty-eight".