72552832 has 48 divisors (see below), whose sum is σ = 158376420. Its totient is φ = 32833280.

The previous prime is 72552829. The next prime is 72552853. The reversal of 72552832 is 23825527.

Its product of digits (33600) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 319503 + ... + 319729.

Almost surely, 2^72552832 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 72552832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79188210).

72552832 is an abundant number, since it is smaller than the sum of its proper divisors (85823588).

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

72552832 is an equidigital number, since it uses as much as digits as its factorization.

72552832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 240 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 72552832 is about 8517.7950198393. The cubic root of 72552832 is about 417.0788074194.

The spelling of 72552832 in words is "seventy-two million, five hundred fifty-two thousand, eight hundred thirty-two".