113031072 has 192 divisors, whose sum is σ = 411264000. Its totient is φ = 29341440.

The previous prime is 113031031. The next prime is 113031091. The reversal of 113031072 is 270130311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65679 + ... + 67377.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 2^113031072 is an apocalyptic number.

113031072 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 113031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

113031072 is an abundant number, since it is smaller than the sum of its proper divisors (298232928).

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

113031072 is a wasteful number, since it uses less digits than its factorization.

113031072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 113031072 is about 10631.6072162209. The cubic root of 113031072 is about 483.5031214296.

Adding to 113031072 its reverse (270130311), we get a palindrome (383161383).

The spelling of 113031072 in words is "one hundred thirteen million, thirty-one thousand, seventy-two".