72239688 has 160 divisors (see below), whose sum is σ = 218496960. Its totient is φ = 22239360.

The previous prime is 72239669. The next prime is 72239701. The reversal of 72239688 is 88693227.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 551383 + ... + 551513.

It is an arithmetic number, because the mean of its divisors is an integer number (1365606).

Almost surely, 2^72239688 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 72239688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109248480).

72239688 is an abundant number, since it is smaller than the sum of its proper divisors (146257272).

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

72239688 is a wasteful number, since it uses less digits than its factorization.

72239688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 72239688 is about 8499.3933901191. The cubic root of 72239688 is about 416.4778932257.

It can be divided in two parts, 72239 and 688, that added together give a palindrome (72927).

The spelling of 72239688 in words is "seventy-two million, two hundred thirty-nine thousand, six hundred eighty-eight".