172824 has 32 divisors (see below), whose sum is σ = 456000. Its totient is φ = 54432.

The previous prime is 172807. The next prime is 172829. The reversal of 172824 is 428271.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 172794 and 172803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172829) 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 7 ways as a sum of consecutive naturals, for example, 267 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (14250).

2¹⁷²⁸²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228000).

172824 is an abundant number, since it is smaller than the sum of its proper divisors (283176).

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

172824 is a wasteful number, since it uses less digits than its factorization.

172824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 172824 is about 415.7210603277. The cubic root of 172824 is about 55.7016445444.

The spelling of 172824 in words is "one hundred seventy-two thousand, eight hundred twenty-four".