112742728 has 64 divisors (see below), whose sum is σ = 248976000. Its totient is φ = 47839680.

The previous prime is 112742723. The next prime is 112742741. The reversal of 112742728 is 827247211.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 112742693 and 112742702.

It is not an unprimeable number, because it can be changed into a prime (112742723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496551 + ... + 496777.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2^112742728 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 112742728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488000).

112742728 is an abundant number, since it is smaller than the sum of its proper divisors (136233272).

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

112742728 is a wasteful number, since it uses less digits than its factorization.

112742728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 417 counting only the distinct ones).

The product of its digits is 12544, while the sum is 34.

The square root of 112742728 is about 10618.0378601698. The cubic root of 112742728 is about 483.0916300288.

Adding to 112742728 its reverse (827247211), we get a palindrome (939989939).

The spelling of 112742728 in words is "one hundred twelve million, seven hundred forty-two thousand, seven hundred twenty-eight".