172352 has 14 divisors (see below), whose sum is σ = 342138. Its totient is φ = 86144.

The previous prime is 172351. The next prime is 172357. The reversal of 172352 is 253271.

It can be written as a sum of positive squares in only one way, i.e., 141376 + 30976 = 376^2 + 176^2 .

It is a d-powerful number, because it can be written as 1 + 7⁴ + 3¹⁰ + 2³ + 5⁷ + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1283 + ... + 1410.

2¹⁷²³⁵² is an apocalyptic number.

It is an amenable number.

172352 is a deficient number, since it is larger than the sum of its proper divisors (169786).

172352 is an equidigital number, since it uses as much as digits as its factorization.

172352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2695 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 172352 is about 415.1529838505. The cubic root of 172352 is about 55.6508893499.

The spelling of 172352 in words is "one hundred seventy-two thousand, three hundred fifty-two".