112320072 has 36 divisors (see below), whose sum is σ = 304443945. Its totient is φ = 37410048.

The previous prime is 112320041. The next prime is 112320097. The reversal of 112320072 is 270023211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 111386916 + 933156 = 10554^2 + 966^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7494.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89304 + ... + 90552.

Almost surely, 2^112320072 is an apocalyptic number.

112320072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112320072 is an abundant number, since it is smaller than the sum of its proper divisors (192123873).

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

112320072 is an equidigital number, since it uses as much as digits as its factorization.

112320072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 112320072 is about 10598.1164364240. The cubic root of 112320072 is about 482.4871941262.

Multiplying 112320072 by its sum of digits (18), we get a square (2021761296 = 44964²).

112320072 divided by its sum of digits (18) gives a square (6240004 = 2498²).

Adding to 112320072 its reverse (270023211), we get a palindrome (382343283).

The spelling of 112320072 in words is "one hundred twelve million, three hundred twenty thousand, seventy-two".