112135672 has 64 divisors (see below), whose sum is σ = 253497600. Its totient is φ = 45872640.

The previous prime is 112135643. The next prime is 112135691. The reversal of 112135672 is 276531211.

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 112135672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32779 + ... + 36037.

It is an arithmetic number, because the mean of its divisors is an integer number (3960900).

Almost surely, 2^112135672 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 112135672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126748800).

112135672 is an abundant number, since it is smaller than the sum of its proper divisors (141361928).

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

112135672 is a wasteful number, since it uses less digits than its factorization.

112135672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3312 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 112135672 is about 10589.4132037616. The cubic root of 112135672 is about 482.2230104997.

Adding to 112135672 its reverse (276531211), we get a palindrome (388666883).

The spelling of 112135672 in words is "one hundred twelve million, one hundred thirty-five thousand, six hundred seventy-two".