172753 has 16 divisors (see below), whose sum is σ = 218880. Its totient is φ = 133056.

The previous prime is 172751. The next prime is 172759. The reversal of 172753 is 357271.

It is not a de Polignac number, because 172753 - 2¹ = 172751 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172751) 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, 4651 + ... + 4687.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2¹⁷²⁷⁵³ is an apocalyptic number.

It is an amenable number.

172753 is a deficient number, since it is larger than the sum of its proper divisors (46127).

172753 is a wasteful number, since it uses less digits than its factorization.

172753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its digits is 1470, while the sum is 25.

The square root of 172753 is about 415.6356577581. The cubic root of 172753 is about 55.6940156687.

The spelling of 172753 in words is "one hundred seventy-two thousand, seven hundred fifty-three".