172560 has 40 divisors (see below), whose sum is σ = 535680. Its totient is φ = 45952.

The previous prime is 172553. The next prime is 172561. The reversal of 172560 is 65271.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×172560³ = 15414933339648000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172561) by changing a digit.

172560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2¹⁷²⁵⁶⁰ is an apocalyptic number.

172560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

172560 is an abundant number, since it is smaller than the sum of its proper divisors (363120).

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

172560 is a wasteful number, since it uses less digits than its factorization.

172560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 172560 is about 415.4034183778. The cubic root of 172560 is about 55.6732674513.

The spelling of 172560 in words is "one hundred seventy-two thousand, five hundred sixty".