172329 has 16 divisors (see below), whose sum is σ = 253440. Its totient is φ = 103680.

The previous prime is 172321. The next prime is 172331. The reversal of 172329 is 923271.

It is not a de Polignac number, because 172329 - 2³ = 172321 is a prime.

172329 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 172299 and 172308.

It is not an unprimeable number, because it can be changed into a prime (172321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2¹⁷²³²⁹ is an apocalyptic number.

It is an amenable number.

172329 is a deficient number, since it is larger than the sum of its proper divisors (81111).

172329 is a wasteful number, since it uses less digits than its factorization.

172329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its digits is 756, while the sum is 24.

The square root of 172329 is about 415.1252822944. The cubic root of 172329 is about 55.6484137430.

It can be divided in two parts, 17 and 2329, that multiplied together give a palindrome (39593).

The spelling of 172329 in words is "one hundred seventy-two thousand, three hundred twenty-nine".