113091072 has 160 divisors (see below), whose sum is σ = 328800384. Its totient is φ = 34406400.

The previous prime is 113091049. The next prime is 113091073. The reversal of 113091072 is 270190311.

It is a super-2 number, since 2×113091072² = 25579181132218368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113091073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1592797 + ... + 1592867.

Almost surely, 2^113091072 is an apocalyptic number.

113091072 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 113091072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164400192).

113091072 is an abundant number, since it is smaller than the sum of its proper divisors (215709312).

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

113091072 is an equidigital number, since it uses as much as digits as its factorization.

113091072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 113091072 is about 10634.4286165266. The cubic root of 113091072 is about 483.5886585453.

The spelling of 113091072 in words is "one hundred thirteen million, ninety-one thousand, seventy-two".