18172 has 24 divisors (see below), whose sum is σ = 40320. Its totient is φ = 6960.
The previous prime is 18169. The next prime is 18181. The reversal of 18172 is 27181.
It is a zygodrome in base 6.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279 + ... + 337.
It is an arithmetic number, because the mean of its divisors is an integer number (1680).
218172 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 18172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).
18172 is an abundant number, since it is smaller than the sum of its proper divisors (22148).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18172 is a wasteful number, since it uses less digits than its factorization.
18172 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 81 (or 79 counting only the distinct ones).
The product of its digits is 112, while the sum is 19.
The square root of 18172 is about 134.8035607838. The cubic root of 18172 is about 26.2906249265.
Subtracting 18172 from its reverse (27181), we obtain a palindrome (9009).
It can be divided in two parts, 181 and 72, that added together give a triangular number (253 = T22).
The spelling of 18172 in words is "eighteen thousand, one hundred seventy-two".
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