112075072 has 112 divisors (see below), whose sum is σ = 250179840. Its totient is φ = 49600512.

The previous prime is 112075057. The next prime is 112075123. The reversal of 112075072 is 270570211.

It is a happy number.

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, 2114598 + ... + 2114650.

Almost surely, 2^112075072 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 112075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089920).

112075072 is an abundant number, since it is smaller than the sum of its proper divisors (138104768).

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

112075072 is a wasteful number, since it uses less digits than its factorization.

112075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 112075072 is about 10586.5514687267. The cubic root of 112075072 is about 482.1361277096.

The spelling of 112075072 in words is "one hundred twelve million, seventy-five thousand, seventy-two".