113827272 has 64 divisors (see below), whose sum is σ = 308810880. Its totient is φ = 34755072.

The previous prime is 113827261. The next prime is 113827297. The reversal of 113827272 is 272728311.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41413 + ... + 44075.

It is an arithmetic number, because the mean of its divisors is an integer number (4825170).

Almost surely, 2^113827272 is an apocalyptic number.

113827272 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 113827272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154405440).

113827272 is an abundant number, since it is smaller than the sum of its proper divisors (194983608).

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

113827272 is a wasteful number, since it uses less digits than its factorization.

113827272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2818 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 113827272 is about 10668.9864560791. The cubic root of 113827272 is about 484.6357444942.

It can be divided in two parts, 11 and 3827272, that added together give a palindrome (3827283).

The spelling of 113827272 in words is "one hundred thirteen million, eight hundred twenty-seven thousand, two hundred seventy-two".