112265728 has 40 divisors (see below), whose sum is σ = 232077780. Its totient is φ = 54190080.

The previous prime is 112265723. The next prime is 112265759. The reversal of 112265728 is 827562211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 110502144 + 1763584 = 10512^2 + 1328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112265693 and 112265702.

It is not an unprimeable number, because it can be changed into a prime (112265723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11068 + ... + 18628.

Almost surely, 2^112265728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116038890).

112265728 is an abundant number, since it is smaller than the sum of its proper divisors (119812052).

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

112265728 is an frugal number, since it uses more digits than its factorization.

112265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 7592 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 112265728 is about 10595.5522744216. The cubic root of 112265728 is about 482.4093673897.

The spelling of 112265728 in words is "one hundred twelve million, two hundred sixty-five thousand, seven hundred twenty-eight".