172632 has 16 divisors (see below), whose sum is σ = 431640. Its totient is φ = 57536.

The previous prime is 172619. The next prime is 172633. The reversal of 172632 is 236271.

It is a happy number.

172632 is nontrivially palindromic in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 172599 and 172608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172633) 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 3 ways as a sum of consecutive naturals, for example, 3573 + ... + 3620.

2¹⁷²⁶³² is an apocalyptic number.

172632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

172632 is an abundant number, since it is smaller than the sum of its proper divisors (259008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172632 is a wasteful number, since it uses less digits than its factorization.

172632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202 (or 7198 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 172632 is about 415.4900720836. The cubic root of 172632 is about 55.6810095272.

It can be divided in two parts, 17 and 2632, that multiplied together give a palindrome (44744).

The spelling of 172632 in words is "one hundred seventy-two thousand, six hundred thirty-two".