173972 has 24 divisors (see below), whose sum is σ = 333312. Its totient is φ = 79200.

The previous prime is 173969. The next prime is 173977. The reversal of 173972 is 279371.

It is a happy number.

173972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2822 + ... + 2882.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2¹⁷³⁹⁷² is an apocalyptic number.

It is an amenable number.

173972 is a deficient number, since it is larger than the sum of its proper divisors (159340).

173972 is a wasteful number, since it uses less digits than its factorization.

173972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its digits is 2646, while the sum is 29.

The square root of 173972 is about 417.0995085109. The cubic root of 173972 is about 55.8247069666.

The spelling of 173972 in words is "one hundred seventy-three thousand, nine hundred seventy-two".