172392 has 32 divisors (see below), whose sum is σ = 470880. Its totient is φ = 52160.

The previous prime is 172373. The next prime is 172399. The reversal of 172392 is 293271.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (172399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (14715).

2¹⁷²³⁹² is an apocalyptic number.

172392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235440).

172392 is an abundant number, since it is smaller than the sum of its proper divisors (298488).

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

172392 is a wasteful number, since it uses less digits than its factorization.

172392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 172392 is about 415.2011560678. The cubic root of 172392 is about 55.6551942286.

The spelling of 172392 in words is "one hundred seventy-two thousand, three hundred ninety-two".