172172 has 48 divisors (see below), whose sum is σ = 413952. Its totient is φ = 60480.

The previous prime is 172171. The next prime is 172181. The reversal of 172172 is 271271.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3983 + ... + 4025.

It is an arithmetic number, because the mean of its divisors is an integer number (8624).

2¹⁷²¹⁷² 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 172172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206976).

172172 is an abundant number, since it is smaller than the sum of its proper divisors (241780).

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

172172 is a wasteful number, since it uses less digits than its factorization.

172172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its digits is 196, while the sum is 20.

The square root of 172172 is about 414.9361396649. The cubic root of 172172 is about 55.6315091486.

Subtracting 172172 from its reverse (271271), we obtain a palindrome (99099).

The spelling of 172172 in words is "one hundred seventy-two thousand, one hundred seventy-two", and thus it is an iban number.