32172 has 24 divisors (see below), whose sum is σ = 86016. Its totient is φ = 9168.

The previous prime is 32159. The next prime is 32173. The reversal of 32172 is 27123.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 8 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32172.

It is not an unprimeable number, because it can be changed into a prime (32173) by changing a digit.

32172 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 7 ways as a sum of consecutive naturals, for example, 108 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (3584).

2³²¹⁷² is an apocalyptic number.

It is an amenable number.

32172 is an abundant number, since it is smaller than the sum of its proper divisors (53844).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43008).

32172 is a wasteful number, since it uses less digits than its factorization.

32172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its digits is 84, while the sum is 15.

The square root of 32172 is about 179.3655485315. The cubic root of 32172 is about 31.8048013003.

32172 divided by its product of digits (84) gives a palindrome (383).

Adding to 32172 its reverse (27123), we get a palindrome (59295).

It can be divided in two parts, 321 and 72, that added together give a palindrome (393).

The spelling of 32172 in words is "thirty-two thousand, one hundred seventy-two".