72338716217089 has 27 divisors (see below), whose sum is σ = 88812508712067. Its totient is φ = 58740294605328.

The previous prime is 72338716217087. The next prime is 72338716217101. The reversal of 72338716217089 is 98071261783327.

The square root of 72338716217089 is 8505217.

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

It can be written as a sum of positive squares in only one way, i.e., 51866168101489 + 20472548115600 = 7201817^2 + 4524660^2 .

It is not a de Polignac number, because 72338716217089 - 2¹ = 72338716217087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72338716217089.

It is not an unprimeable number, because it can be changed into a prime (72338716217087) 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, 1131161887 + ... + 1131225835.

It is an arithmetic number, because the mean of its divisors is an integer number (3289352174521).

Almost surely, 2^{72338716217089} is an apocalyptic number.

72338716217089 is the 8505217-th square number.

72338716217089 is the 4252609-th centered octagonal number.

It is an amenable number.

72338716217089 is a deficient number, since it is larger than the sum of its proper divisors (16473792494978).

72338716217089 is an frugal number, since it uses more digits than its factorization.

72338716217089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127950 (or 63975 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 64.

The spelling of 72338716217089 in words is "seventy-two trillion, three hundred thirty-eight billion, seven hundred sixteen million, two hundred seventeen thousand, eighty-nine".