72232524 has 144 divisors (see below), whose sum is σ = 238125888. Its totient is φ = 17915904.

The previous prime is 72232519. The next prime is 72232543. The reversal of 72232524 is 42523227.

Its product of digits (6720) is a multiple of the sum of its prime factors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55044 + ... + 56340.

It is an arithmetic number, because the mean of its divisors is an integer number (1653652).

Almost surely, 2^72232524 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 72232524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119062944).

72232524 is an abundant number, since it is smaller than the sum of its proper divisors (165893364).

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

72232524 is a wasteful number, since it uses less digits than its factorization.

72232524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1339 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 72232524 is about 8498.9719378287. The cubic root of 72232524 is about 416.4641254186.

The spelling of 72232524 in words is "seventy-two million, two hundred thirty-two thousand, five hundred twenty-four".