112746528 has 72 divisors (see below), whose sum is σ = 325464048. Its totient is φ = 37014912.

The previous prime is 112746523. The next prime is 112746539. The reversal of 112746528 is 825647211.

112746528 is a `hidden beast` number, since 1 + 127 + 4 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112746492 and 112746501.

It is not an unprimeable number, because it can be changed into a prime (112746523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16375 + ... + 22217.

It is an arithmetic number, because the mean of its divisors is an integer number (4520334).

Almost surely, 2^112746528 is an apocalyptic number.

112746528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112746528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162732024).

112746528 is an abundant number, since it is smaller than the sum of its proper divisors (212717520).

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

112746528 is a wasteful number, since it uses less digits than its factorization.

112746528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926 (or 5915 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 112746528 is about 10618.2167994442. The cubic root of 112746528 is about 483.0970575113.

The spelling of 112746528 in words is "one hundred twelve million, seven hundred forty-six thousand, five hundred twenty-eight".