172524760321 has 27 divisors (see below), whose sum is σ = 187199491003. Its totient is φ = 158966961920.

The previous prime is 172524760301. The next prime is 172524760337. The reversal of 172524760321 is 123067425271.

The square root of 172524760321 is 415361.

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

It can be written as a sum of positive squares in 13 ways, for example, as 31929758721 + 140595001600 = 178689^2 + 374960^2 .

It is not a de Polignac number, because 172524760321 - 2⁷ = 172524760193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172524760301) 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, 374240031 + ... + 374240491.

Almost surely, 2^172524760321 is an apocalyptic number.

172524760321 is the 415361-st square number.

172524760321 is the 207681-st centered octagonal number.

It is an amenable number.

172524760321 is a deficient number, since it is larger than the sum of its proper divisors (14674730682).

172524760321 is an frugal number, since it uses more digits than its factorization.

172524760321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 172524760321 in words is "one hundred seventy-two billion, five hundred twenty-four million, seven hundred sixty thousand, three hundred twenty-one".