72539136 has 132 divisors (see below), whose sum is σ = 222255072. Its totient is φ = 22708224.

The previous prime is 72539123. The next prime is 72539141. The reversal of 72539136 is 63193527.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72539136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156441 + ... + 156903.

Almost surely, 2^72539136 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 72539136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111127536).

72539136 is an abundant number, since it is smaller than the sum of its proper divisors (149715936).

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

72539136 is a wasteful number, since it uses less digits than its factorization.

72539136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 485 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 72539136 is about 8516.9910179593. The cubic root of 72539136 is about 417.0525613921.

The spelling of 72539136 in words is "seventy-two million, five hundred thirty-nine thousand, one hundred thirty-six".