172764 has 18 divisors (see below), whose sum is σ = 436800. Its totient is φ = 57576.

The previous prime is 172759. The next prime is 172787. The reversal of 172764 is 467271.

172764 is nontrivially palindromic in base 14.

172764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172764.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2364 + ... + 2435.

2¹⁷²⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

172764 is an abundant number, since it is smaller than the sum of its proper divisors (264036).

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

172764 is a wasteful number, since it uses less digits than its factorization.

172764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4804 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 172764 is about 415.6488902908. The cubic root of 172764 is about 55.6951977440.

The spelling of 172764 in words is "one hundred seventy-two thousand, seven hundred sixty-four".