172737490689 has 81 divisors (see below), whose sum is σ = 266706304137. Its totient is φ = 107727926400.

The previous prime is 172737490687. The next prime is 172737490697. The reversal of 172737490689 is 986094737271.

The square root of 172737490689 is 415617.

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

172737490689 is a `hidden beast` number, since 1 + 72 + 73 + 7 + 490 + 6 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21618703089 + 151118787600 = 147033^2 + 388740^2 .

It is not a de Polignac number, because 172737490689 - 2¹ = 172737490687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (172737490687) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1584747567 + ... + 1584747675.

Almost surely, 2^172737490689 is an apocalyptic number.

172737490689 is the 415617-th square number.

172737490689 is the 207809-th centered octagonal number.

It is an amenable number.

172737490689 is a deficient number, since it is larger than the sum of its proper divisors (93968813448).

172737490689 is an equidigital number, since it uses as much as digits as its factorization.

172737490689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 172737490689 in words is "one hundred seventy-two billion, seven hundred thirty-seven million, four hundred ninety thousand, six hundred eighty-nine".