72182882594601 has 27 divisors (see below), whose sum is σ = 107159674969893. Its totient is φ = 46820717534880.

The previous prime is 72182882594591. The next prime is 72182882594633. The reversal of 72182882594601 is 10649528828127.

The square root of 72182882594601 is 8496051.

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

72182882594601 is a `hidden beast` number, since 7 + 2 + 18 + 2 + 8 + 8 + 2 + 5 + 9 + 4 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1188372515625 + 70994510078976 = 1090125^2 + 8425824^2 .

It is not a de Polignac number, because 72182882594601 - 2³³ = 72174292660009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72182882590601) 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, 943023391 + ... + 943099931.

Almost surely, 2^{72182882594601} is an apocalyptic number.

72182882594601 is the 8496051-st square number.

72182882594601 is the 4248026-th centered octagonal number.

It is an amenable number.

72182882594601 is a deficient number, since it is larger than the sum of its proper divisors (34976792375292).

72182882594601 is an frugal number, since it uses more digits than its factorization.

72182882594601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153162 (or 76581 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 72182882594601 in words is "seventy-two trillion, one hundred eighty-two billion, eight hundred eighty-two million, five hundred ninety-four thousand, six hundred one".