113371272 has 128 divisors (see below), whose sum is σ = 364089600. Its totient is φ = 32016384.

The previous prime is 113371243. The next prime is 113371289. The reversal of 113371272 is 272173311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1764) is a multiple of the sum of its prime divisors (882).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 146278 + ... + 147050.

It is an arithmetic number, because the mean of its divisors is an integer number (2844450).

Almost surely, 2^113371272 is an apocalyptic number.

113371272 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 113371272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182044800).

113371272 is an abundant number, since it is smaller than the sum of its proper divisors (250718328).

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

113371272 is a wasteful number, since it uses less digits than its factorization.

113371272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 882 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 113371272 is about 10647.5946579497. The cubic root of 113371272 is about 483.9877168296.

The spelling of 113371272 in words is "one hundred thirteen million, three hundred seventy-one thousand, two hundred seventy-two".