72596736 has 126 divisors (see below), whose sum is σ = 217823970. Its totient is φ = 24136704.

The previous prime is 72596731. The next prime is 72596743. The reversal of 72596736 is 63769527.

It can be written as a sum of positive squares in only one way, i.e., 53934336 + 18662400 = 7344^2 + 4320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72596691 and 72596700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72596731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186430 + ... + 186818.

Almost surely, 2^72596736 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 72596736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108911985).

72596736 is an abundant number, since it is smaller than the sum of its proper divisors (145227234).

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

72596736 is an frugal number, since it uses more digits than its factorization.

72596736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 394 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 72596736 is about 8520.3718228725. The cubic root of 72596736 is about 417.1629196223.

It can be divided in two parts, 725 and 96736, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 72596736 in words is "seventy-two million, five hundred ninety-six thousand, seven hundred thirty-six".