113072 has 20 divisors (see below), whose sum is σ = 226176. Its totient is φ = 54720.

The previous prime is 113063. The next prime is 113081. The reversal of 113072 is 270311.

It is an interprime number because it is at equal distance from previous prime (113063) and next prime (113081).

113072 is an admirable number.

It is an unprimeable number.

113072 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 3 ways as a sum of consecutive naturals, for example, 497 + ... + 687.

2¹¹³⁰⁷² is an apocalyptic number.

It is an amenable number.

113072 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a weird number, because it is abundant, but not a pseudoperfect number.

113072 is a wasteful number, since it uses less digits than its factorization.

113072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 113072 is about 336.2618027668. The cubic root of 113072 is about 48.3561472428.

Adding to 113072 its reverse (270311), we get a palindrome (383383).

The spelling of 113072 in words is "one hundred thirteen thousand, seventy-two".