72382932 has 144 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 21155904.

The previous prime is 72382903. The next prime is 72382943. The reversal of 72382932 is 23928327.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 676423 + ... + 676529.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^72382932 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 72382932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

72382932 is an abundant number, since it is smaller than the sum of its proper divisors (135184428).

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

72382932 is a wasteful number, since it uses less digits than its factorization.

72382932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72382932 is about 8507.8159359497. The cubic root of 72382932 is about 416.7529893327.

The spelling of 72382932 in words is "seventy-two million, three hundred eighty-two thousand, nine hundred thirty-two".