172160 has 32 divisors (see below), whose sum is σ = 413100. Its totient is φ = 68608.

The previous prime is 172157. The next prime is 172169. The reversal of 172160 is 61271.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 18496 = 392^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (172169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 506 + ... + 774.

2¹⁷²¹⁶⁰ is an apocalyptic number.

172160 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 172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206550).

172160 is an abundant number, since it is smaller than the sum of its proper divisors (240940).

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

172160 is an equidigital number, since it uses as much as digits as its factorization.

172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 172160 is about 414.9216793565. The cubic root of 172160 is about 55.6302166551.

Subtracting from 172160 its reverse (61271), we obtain a square (110889 = 333²).

The spelling of 172160 in words is "one hundred seventy-two thousand, one hundred sixty".