72513536 has 24 divisors (see below), whose sum is σ = 144995760. Its totient is φ = 36255744.

The previous prime is 72513521. The next prime is 72513559. The reversal of 72513536 is 63531527.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656 + ... + 19751.

It is an arithmetic number, because the mean of its divisors is an integer number (6041490).

Almost surely, 2^72513536 is an apocalyptic number.

It is an amenable number.

72513536 is a deficient number, since it is larger than the sum of its proper divisors (72482224).

72513536 is an equidigital number, since it uses as much as digits as its factorization.

72513536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35429 (or 35409 counting only the distinct ones).

The product of its digits is 18900, while the sum is 32.

The square root of 72513536 is about 8515.4880071550. The cubic root of 72513536 is about 417.0034945372.

Subtracting from 72513536 its reverse (63531527), we obtain a square (8982009 = 2997²).

The spelling of 72513536 in words is "seventy-two million, five hundred thirteen thousand, five hundred thirty-six".