72639392 has 48 divisors (see below), whose sum is σ = 164021760. Its totient is φ = 31020288.

The previous prime is 72639379. The next prime is 72639407. The reversal of 72639392 is 29393627.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106958 + ... + 107634.

It is an arithmetic number, because the mean of its divisors is an integer number (3417120).

Almost surely, 2^72639392 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 72639392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82010880).

72639392 is an abundant number, since it is smaller than the sum of its proper divisors (91382368).

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

72639392 is a wasteful number, since it uses less digits than its factorization.

72639392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its digits is 122472, while the sum is 41.

The square root of 72639392 is about 8522.8746324230. The cubic root of 72639392 is about 417.2446084072.

The spelling of 72639392 in words is "seventy-two million, six hundred thirty-nine thousand, three hundred ninety-two".