85176 has 72 divisors (see below), whose sum is σ = 285480. Its totient is φ = 22464.

The previous prime is 85159. The next prime is 85193. The reversal of 85176 is 67158.

85176 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (85159) and next prime (85193).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85176.

It is an unprimeable number.

85176 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 17 ways as a sum of consecutive naturals, for example, 6546 + ... + 6558.

It is an arithmetic number, because the mean of its divisors is an integer number (3965).

2⁸⁵¹⁷⁶ 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 85176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142740).

85176 is an abundant number, since it is smaller than the sum of its proper divisors (200304).

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

85176 is a wasteful number, since it uses less digits than its factorization.

85176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 25 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 85176 is about 291.8492761684. The cubic root of 85176 is about 43.9986225464.

It can be divided in two parts, 8 and 5176, that added together give a square (5184 = 72²).

The spelling of 85176 in words is "eighty-five thousand, one hundred seventy-six".