72522736 has 80 divisors (see below), whose sum is σ = 170926560. Its totient is φ = 29352960.

The previous prime is 72522721. The next prime is 72522757. The reversal of 72522736 is 63722527.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65806 + ... + 66898.

It is an arithmetic number, because the mean of its divisors is an integer number (2136582).

Almost surely, 2^72522736 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 72522736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85463280).

72522736 is an abundant number, since it is smaller than the sum of its proper divisors (98403824).

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

72522736 is a wasteful number, since it uses less digits than its factorization.

72522736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its digits is 35280, while the sum is 34.

The square root of 72522736 is about 8516.0281821986. The cubic root of 72522736 is about 417.0211292673.

It can be divided in two parts, 725 and 22736, that multiplied together give a square (16483600 = 4060²).

The spelling of 72522736 in words is "seventy-two million, five hundred twenty-two thousand, seven hundred thirty-six".