89172 has 18 divisors (see below), whose sum is σ = 225498. Its totient is φ = 29712.

The previous prime is 89153. The next prime is 89189. The reversal of 89172 is 27198.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 12996 = 276^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

89172 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 5 ways as a sum of consecutive naturals, for example, 1203 + ... + 1274.

2⁸⁹¹⁷² is an apocalyptic number.

It is an amenable number.

89172 is an abundant number, since it is smaller than the sum of its proper divisors (136326).

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

89172 is a wasteful number, since it uses less digits than its factorization.

89172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2482 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 89172 is about 298.6168113151. The cubic root of 89172 is about 44.6761941014.

It can be divided in two parts, 8 and 9172, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 89172 in words is "eighty-nine thousand, one hundred seventy-two".