112176 has 60 divisors (see below), whose sum is σ = 338520. Its totient is φ = 34560.

The previous prime is 112163. The next prime is 112181. The reversal of 112176 is 671211.

112176 = 15³ + 16³ + ... + 26³.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2716 + ... + 2756.

It is an arithmetic number, because the mean of its divisors is an integer number (5642).

2¹¹²¹⁷⁶ is an apocalyptic number.

112176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169260).

112176 is an abundant number, since it is smaller than the sum of its proper divisors (226344).

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

112176 is a wasteful number, since it uses less digits than its factorization.

112176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 112176 is about 334.9268576869. The cubic root of 112176 is about 48.2280811787.

Adding to 112176 its reverse (671211), we get a palindrome (783387).

It can be divided in two parts, 11 and 2176, that added together give a 7-th power (2187 = 3⁷).

The spelling of 112176 in words is "one hundred twelve thousand, one hundred seventy-six".