113605272 has 96 divisors (see below), whose sum is σ = 337858560. Its totient is φ = 34200000.

The previous prime is 113605259. The next prime is 113605273. The reversal of 113605272 is 272506311.

It is a happy number.

113605272 is a `hidden beast` number, since 1 + 136 + 0 + 527 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113605273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150897 + ... + 151647.

It is an arithmetic number, because the mean of its divisors is an integer number (3519360).

Almost surely, 2^113605272 is an apocalyptic number.

113605272 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 113605272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168929280).

113605272 is an abundant number, since it is smaller than the sum of its proper divisors (224253288).

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

113605272 is a wasteful number, since it uses less digits than its factorization.

113605272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 113605272 is about 10658.5773910030. The cubic root of 113605272 is about 484.3204739566.

The spelling of 113605272 in words is "one hundred thirteen million, six hundred five thousand, two hundred seventy-two".