82176 has 36 divisors (see below), whose sum is σ = 220752. Its totient is φ = 27136.

The previous prime is 82171. The next prime is 82183. The reversal of 82176 is 67128.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (672) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (82171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 715 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (6132).

2⁸²¹⁷⁶ 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 82176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376).

82176 is an abundant number, since it is smaller than the sum of its proper divisors (138576).

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

82176 is a wasteful number, since it uses less digits than its factorization.

82176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 82176 is about 286.6635658747. The cubic root of 82176 is about 43.4758751155.

The spelling of 82176 in words is "eighty-two thousand, one hundred seventy-six".