174972 has 24 divisors (see below), whose sum is σ = 466816. Its totient is φ = 49968.

The previous prime is 174959. The next prime is 174989. The reversal of 174972 is 279471.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 958 + ... + 1125.

2¹⁷⁴⁹⁷² is an apocalyptic number.

174972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

174972 is an abundant number, since it is smaller than the sum of its proper divisors (291844).

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

174972 is a wasteful number, since it uses less digits than its factorization.

174972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2095 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 174972 is about 418.2965455272. The cubic root of 174972 is about 55.9314637744.

The spelling of 174972 in words is "one hundred seventy-four thousand, nine hundred seventy-two".