72579052 has 96 divisors (see below), whose sum is σ = 170529408. Its totient is φ = 26210304.

The previous prime is 72579041. The next prime is 72579077. The reversal of 72579052 is 25097527.

It is a super-4 number, since 4×72579052⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228798 + ... + 229114.

It is an arithmetic number, because the mean of its divisors is an integer number (1776348).

Almost surely, 2^72579052 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 72579052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85264704).

72579052 is an abundant number, since it is smaller than the sum of its proper divisors (97950356).

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

72579052 is a wasteful number, since it uses less digits than its factorization.

72579052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 72579052 is about 8519.3340115293. The cubic root of 72579052 is about 417.1290443245.

The spelling of 72579052 in words is "seventy-two million, five hundred seventy-nine thousand, fifty-two".