172875 has 16 divisors (see below), whose sum is σ = 288288. Its totient is φ = 92000.

The previous prime is 172871. The next prime is 172877. The reversal of 172875 is 578271.

It is a happy number.

172875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 172875 - 2² = 172871 is a prime.

172875 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (172871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (18018).

2¹⁷²⁸⁷⁵ is an apocalyptic number.

172875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

172875 is a deficient number, since it is larger than the sum of its proper divisors (115413).

172875 is an equidigital number, since it uses as much as digits as its factorization.

172875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its digits is 3920, while the sum is 30.

The square root of 172875 is about 415.7823950097. The cubic root of 172875 is about 55.7071231517.

It can be divided in two parts, 1728 and 75, that multiplied together give a square (129600 = 360²).

The spelling of 172875 in words is "one hundred seventy-two thousand, eight hundred seventy-five".