72132816 has 80 divisors (see below), whose sum is σ = 224192000. Its totient is φ = 19522944.

The previous prime is 72132787. The next prime is 72132847. The reversal of 72132816 is 61823127.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 735 + ... + 12033.

It is an arithmetic number, because the mean of its divisors is an integer number (2802400).

Almost surely, 2^72132816 is an apocalyptic number.

72132816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72132816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112096000).

72132816 is an abundant number, since it is smaller than the sum of its proper divisors (152059184).

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

72132816 is a wasteful number, since it uses less digits than its factorization.

72132816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11336 (or 11330 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 72132816 is about 8493.1040262086. The cubic root of 72132816 is about 416.2724115664.

The spelling of 72132816 in words is "seventy-two million, one hundred thirty-two thousand, eight hundred sixteen".