72364132037521 has 27 divisors (see below), whose sum is σ = 75896928042033. Its totient is φ = 68990106746880.

The previous prime is 72364132037479. The next prime is 72364132037531. The reversal of 72364132037521 is 12573023146327.

The square root of 72364132037521 is 8506711.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 61359413900625 + 11004718136896 = 7833225^2 + 3317336^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72364132037521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72364132037531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112892561361 + ... + 112892562001.

Almost surely, 2^{72364132037521} is an apocalyptic number.

72364132037521 is the 8506711-st square number.

72364132037521 is the 4253356-th centered octagonal number.

It is an amenable number.

72364132037521 is a deficient number, since it is larger than the sum of its proper divisors (3532796004512).

72364132037521 is an frugal number, since it uses more digits than its factorization.

72364132037521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 72364132037521 in words is "seventy-two trillion, three hundred sixty-four billion, one hundred thirty-two million, thirty-seven thousand, five hundred twenty-one".