112125728 has 96 divisors (see below), whose sum is σ = 262906560. Its totient is φ = 46402560.

The previous prime is 112125721. The next prime is 112125733. The reversal of 112125728 is 827521211.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 112125728.

It is not an unprimeable number, because it can be changed into a prime (112125721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489518 + ... + 489746.

It is an arithmetic number, because the mean of its divisors is an integer number (2738610).

Almost surely, 2^112125728 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 112125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131453280).

112125728 is an abundant number, since it is smaller than the sum of its proper divisors (150780832).

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

112125728 is a wasteful number, since it uses less digits than its factorization.

112125728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its digits is 2240, while the sum is 29.

The square root of 112125728 is about 10588.9436678075. The cubic root of 112125728 is about 482.2087558405.

Adding to 112125728 its reverse (827521211), we get a palindrome (939646939).

The spelling of 112125728 in words is "one hundred twelve million, one hundred twenty-five thousand, seven hundred twenty-eight".