112728 has 64 divisors (see below), whose sum is σ = 357120. Its totient is φ = 28800.

The previous prime is 112691. The next prime is 112741. The reversal of 112728 is 827211.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

112728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1818 + ... + 1878.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2¹¹²⁷²⁸ 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 112728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

112728 is an abundant number, since it is smaller than the sum of its proper divisors (244392).

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

112728 is a wasteful number, since it uses less digits than its factorization.

112728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 112728 is about 335.7499069248. The cubic root of 112728 is about 48.3070593097.

Adding to 112728 its reverse (827211), we get a palindrome (939939).

The spelling of 112728 in words is "one hundred twelve thousand, seven hundred twenty-eight".