172753273 has 18 divisors (see below), whose sum is σ = 220895178. Its totient is φ = 134608320.

The previous prime is 172753267. The next prime is 172753279. The reversal of 172753273 is 372357271.

It is an interprime number because it is at equal distance from previous prime (172753267) and next prime (172753279).

It can be written as a sum of positive squares in only one way, i.e., 169338169 + 3415104 = 13013^2 + 1848^2 .

It is not a de Polignac number, because 172753273 - 2⁵ = 172753241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172753279) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 8640 + ... + 20497.

Almost surely, 2^172753273 is an apocalyptic number.

It is an amenable number.

172753273 is a deficient number, since it is larger than the sum of its proper divisors (48141905).

172753273 is a wasteful number, since it uses less digits than its factorization.

172753273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29173 (or 29155 counting only the distinct ones).

The product of its digits is 61740, while the sum is 37.

The square root of 172753273 is about 13143.5639382931. The cubic root of 172753273 is about 556.9404500627.

The spelling of 172753273 in words is "one hundred seventy-two million, seven hundred fifty-three thousand, two hundred seventy-three".