182172 has 48 divisors (see below), whose sum is σ = 483840. Its totient is φ = 52992.

The previous prime is 182167. The next prime is 182177. The reversal of 182172 is 271281.

It is an interprime number because it is at equal distance from previous prime (182167) and next prime (182177).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182177) by changing a digit.

182172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3853 + ... + 3899.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁸²¹⁷² is an apocalyptic number.

182172 is a gapful number since it is divisible by the number (12) 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 182172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

182172 is an abundant number, since it is smaller than the sum of its proper divisors (301668).

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

182172 is a wasteful number, since it uses less digits than its factorization.

182172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 182172 is about 426.8161196581. The cubic root of 182172 is about 56.6883577090.

The spelling of 182172 in words is "one hundred eighty-two thousand, one hundred seventy-two".