172544 has 20 divisors (see below), whose sum is σ = 345774. Its totient is φ = 86016.

The previous prime is 172541. The next prime is 172553. The reversal of 172544 is 445271.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 12544 = 400^2 + 112^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172544.

It is not an unprimeable number, because it can be changed into a prime (172541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344 + ... + 680.

2¹⁷²⁵⁴⁴ 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 172544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172887).

172544 is an abundant number, since it is smaller than the sum of its proper divisors (173230).

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

172544 is an frugal number, since it uses more digits than its factorization.

172544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 339 counting only the distinct ones).

The product of its digits is 1120, while the sum is 23.

The square root of 172544 is about 415.3841595439. The cubic root of 172544 is about 55.6715466975.

The spelling of 172544 in words is "one hundred seventy-two thousand, five hundred forty-four".