83172 has 24 divisors (see below), whose sum is σ = 201600. Its totient is φ = 26656.

The previous prime is 83137. The next prime is 83177. The reversal of 83172 is 27138.

It is a plaindrome in base 14 and base 15.

It is not an unprimeable number, because it can be changed into a prime (83177) by changing a digit.

83172 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁸³¹⁷² 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 83172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

83172 is an abundant number, since it is smaller than the sum of its proper divisors (118428).

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

83172 is a wasteful number, since it uses less digits than its factorization.

83172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 83172 is about 288.3955616857. The cubic root of 83172 is about 43.6508174972.

It can be divided in two parts, 831 and 72, that added together give a triangular number (903 = T₄₂).

The spelling of 83172 in words is "eighty-three thousand, one hundred seventy-two".