112759572 has 48 divisors (see below), whose sum is σ = 286130880. Its totient is φ = 34417152.

The previous prime is 112759571. The next prime is 112759579. The reversal of 112759572 is 275957211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112759572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112759571) 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, 79 + ... + 15017.

It is an arithmetic number, because the mean of its divisors is an integer number (5961060).

Almost surely, 2^112759572 is an apocalyptic number.

112759572 is a gapful number since it is divisible by the number (12) 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 112759572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143065440).

112759572 is an abundant number, since it is smaller than the sum of its proper divisors (173371308).

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

112759572 is a wasteful number, since it uses less digits than its factorization.

112759572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000 (or 14998 counting only the distinct ones).

The product of its digits is 44100, while the sum is 39.

The square root of 112759572 is about 10618.8310091083. The cubic root of 112759572 is about 483.1156871316.

The spelling of 112759572 in words is "one hundred twelve million, seven hundred fifty-nine thousand, five hundred seventy-two".