72737802593316 has 135 divisors (see below), whose sum is σ = 214503799136081. Its totient is φ = 20781512906112.

The previous prime is 72737802593303. The next prime is 72737802593317. The reversal of 72737802593316 is 61339520873727.

The square root of 72737802593316 is 8528646.

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

72737802593316 is a `hidden beast` number, since 7 + 2 + 7 + 3 + 7 + 8 + 0 + 2 + 593 + 31 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8976938791716 + 63760863801600 = 2996154^2 + 7985040^2 .

It is a super-3 number, since 3×72737802593316³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (72737802593317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2507407420 + ... + 2507436428.

Almost surely, 2^{72737802593316} is an apocalyptic number.

72737802593316 is the 8528646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72737802593316

72737802593316 is an abundant number, since it is smaller than the sum of its proper divisors (141765996542765).

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

72737802593316 is an frugal number, since it uses more digits than its factorization.

72737802593316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58056 (or 29021 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 72737802593316 in words is "seventy-two trillion, seven hundred thirty-seven billion, eight hundred two million, five hundred ninety-three thousand, three hundred sixteen".