172992 has 56 divisors (see below), whose sum is σ = 493776. Its totient is φ = 53248.

The previous prime is 172987. The next prime is 172993. The reversal of 172992 is 299271.

172992 is nontrivially palindromic in base 7.

It is an Ulam number.

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 172992.

It is not an unprimeable number, because it can be changed into a prime (172993) by changing a digit.

172992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3238 + ... + 3290.

2¹⁷²⁹⁹² is an apocalyptic number.

172992 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 172992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246888).

172992 is an abundant number, since it is smaller than the sum of its proper divisors (320784).

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

172992 is a wasteful number, since it uses less digits than its factorization.

172992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 172992 is about 415.9230698098. The cubic root of 172992 is about 55.7196876513.

The spelling of 172992 in words is "one hundred seventy-two thousand, nine hundred ninety-two".