72632924 has 48 divisors (see below), whose sum is σ = 160698048. Its totient is φ = 27952128.

The previous prime is 72632899. The next prime is 72632933. The reversal of 72632924 is 42923627.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10772 + ... + 16164.

It is an arithmetic number, because the mean of its divisors is an integer number (3347876).

Almost surely, 2^72632924 is an apocalyptic number.

72632924 is a gapful number since it is divisible by the number (74) 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 72632924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80349024).

72632924 is an abundant number, since it is smaller than the sum of its proper divisors (88065124).

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

72632924 is a wasteful number, since it uses less digits than its factorization.

72632924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5452 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 72632924 is about 8522.4951745366. The cubic root of 72632924 is about 417.2322238586.

The spelling of 72632924 in words is "seventy-two million, six hundred thirty-two thousand, nine hundred twenty-four".