113712 has 40 divisors (see below), whose sum is σ = 309504. Its totient is φ = 35904.

The previous prime is 113683. The next prime is 113717. The reversal of 113712 is 217311.

113712 = 59² + 60² + ... + 81².

It is a junction number, because it is equal to n+sod(n) for n = 113691 and 113700.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113712.

It is not an unprimeable number, because it can be changed into a prime (113717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1053 + ... + 1155.

2¹¹³⁷¹² is an apocalyptic number.

113712 is a gapful number since it is divisible by the number (12) 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 113712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154752).

113712 is an abundant number, since it is smaller than the sum of its proper divisors (195792).

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

113712 is a wasteful number, since it uses less digits than its factorization.

113712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its digits is 42, while the sum is 15.

The square root of 113712 is about 337.2120994271. The cubic root of 113712 is about 48.4472093613.

The spelling of 113712 in words is "one hundred thirteen thousand, seven hundred twelve".