17172 has 30 divisors (see below), whose sum is σ = 45738. Its totient is φ = 5616.

The previous prime is 17167. The next prime is 17183. The reversal of 17172 is 27171.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 1296 = 126^2 + 36^2 .

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

It is a congruent number.

It is an unprimeable number.

17172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 298 + ... + 350.

2¹⁷¹⁷² is an apocalyptic number.

17172 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 17172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869).

17172 is an abundant number, since it is smaller than the sum of its proper divisors (28566).

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

17172 is a wasteful number, since it uses less digits than its factorization.

17172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its digits is 98, while the sum is 18.

The square root of 17172 is about 131.0419780070. The cubic root of 17172 is about 25.7992428117.

Subtracting 17172 from its reverse (27171), we obtain a palindrome (9999).

It can be divided in two parts, 171 and 72, that added together give a 5-th power (243 = 3⁵).

The spelling of 17172 in words is "seventeen thousand, one hundred seventy-two", and thus it is an iban number.