80172 has 36 divisors (see below), whose sum is σ = 216216. Its totient is φ = 24960.

The previous prime is 80167. The next prime is 80173. The reversal of 80172 is 27108.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (80173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (6006).

2⁸⁰¹⁷² 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 80172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108).

80172 is an abundant number, since it is smaller than the sum of its proper divisors (136044).

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

80172 is a wasteful number, since it uses less digits than its factorization.

80172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 80172 is about 283.1466051359. The cubic root of 80172 is about 43.1195519268.

It can be divided in two parts, 80 and 172, that added together give a palindrome (252).

The spelling of 80172 in words is "eighty thousand, one hundred seventy-two".