112015872 has 200 divisors, whose sum is σ = 348077796. Its totient is φ = 35831808.

The previous prime is 112015867. The next prime is 112015901. The reversal of 112015872 is 278510211.

It can be written as a sum of positive squares in 2 ways, for example, as 104530176 + 7485696 = 10224^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1534428 + ... + 1534500.

Almost surely, 2^112015872 is an apocalyptic number.

112015872 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 112015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174038898).

112015872 is an abundant number, since it is smaller than the sum of its proper divisors (236061924).

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

112015872 is an frugal number, since it uses more digits than its factorization.

112015872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 112015872 is about 10583.7550992075. The cubic root of 112015872 is about 482.0512218655.

The spelling of 112015872 in words is "one hundred twelve million, fifteen thousand, eight hundred seventy-two".