72539392 has 36 divisors (see below), whose sum is σ = 145696320. Its totient is φ = 36044288.

The previous prime is 72539387. The next prime is 72539393. The reversal of 72539392 is 29393527.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72539393) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45033 + ... + 46615.

It is an arithmetic number, because the mean of its divisors is an integer number (4047120).

Almost surely, 2^72539392 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 72539392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72848160).

72539392 is an abundant number, since it is smaller than the sum of its proper divisors (73156928).

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

72539392 is a wasteful number, since it uses less digits than its factorization.

72539392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1764 counting only the distinct ones).

The product of its digits is 102060, while the sum is 40.

The square root of 72539392 is about 8517.0060467279. The cubic root of 72539392 is about 417.0530520023.

The spelling of 72539392 in words is "seventy-two million, five hundred thirty-nine thousand, three hundred ninety-two".