172260 has 96 divisors (see below), whose sum is σ = 604800. Its totient is φ = 40320.

The previous prime is 172259. The next prime is 172279. The reversal of 172260 is 62271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5926 + ... + 5954.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹⁷²²⁶⁰ is an apocalyptic number.

172260 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 172260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

172260 is an abundant number, since it is smaller than the sum of its proper divisors (432540).

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

172260 is a wasteful number, since it uses less digits than its factorization.

172260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 172260 is about 415.0421665325. The cubic root of 172260 is about 55.6409856004.

The spelling of 172260 in words is "one hundred seventy-two thousand, two hundred sixty".