172792 has 8 divisors (see below), whose sum is σ = 324000. Its totient is φ = 86392.

The previous prime is 172787. The next prime is 172801. The reversal of 172792 is 297271.

It is a happy number.

172792 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 (8).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 172792.

It is a congruent number.

It is an unprimeable number.

172792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10792 + ... + 10807.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2¹⁷²⁷⁹² is an apocalyptic number.

It is an amenable number.

172792 is a deficient number, since it is larger than the sum of its proper divisors (151208).

172792 is a wasteful number, since it uses less digits than its factorization.

172792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21605 (or 21601 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 172792 is about 415.6825712007. The cubic root of 172792 is about 55.6982064366.

It can be divided in two parts, 17 and 2792, that added together give a square (2809 = 53²).

The spelling of 172792 in words is "one hundred seventy-two thousand, seven hundred ninety-two".