72352588 has 48 divisors (see below), whose sum is σ = 160489728. Its totient is φ = 27720000.

The previous prime is 72352571. The next prime is 72352601. The reversal of 72352588 is 88525327.

It is a self number, because there is not a number n which added to its sum of digits gives 72352588.

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, 16863 + ... + 20713.

It is an arithmetic number, because the mean of its divisors is an integer number (3343536).

Almost surely, 2^72352588 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 72352588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80244864).

72352588 is an abundant number, since it is smaller than the sum of its proper divisors (88137140).

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

72352588 is a wasteful number, since it uses less digits than its factorization.

72352588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3932 counting only the distinct ones).

The product of its digits is 134400, while the sum is 40.

The square root of 72352588 is about 8506.0324476221. The cubic root of 72352588 is about 416.6947448456.

The spelling of 72352588 in words is "seventy-two million, three hundred fifty-two thousand, five hundred eighty-eight".