112527918 has 48 divisors (see below), whose sum is σ = 258460800. Its totient is φ = 35283600.

The previous prime is 112527911. The next prime is 112527949. The reversal of 112527918 is 819725211.

It is a happy number.

112527918 is a `hidden beast` number, since 112 + 527 + 9 + 18 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112527911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50553 + ... + 52731.

It is an arithmetic number, because the mean of its divisors is an integer number (5384600).

Almost surely, 2^112527918 is an apocalyptic number.

112527918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112527918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129230400).

112527918 is an abundant number, since it is smaller than the sum of its proper divisors (145932882).

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

112527918 is a wasteful number, since it uses less digits than its factorization.

112527918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2354 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 112527918 is about 10607.9177033007. The cubic root of 112527918 is about 482.7846216410.

The spelling of 112527918 in words is "one hundred twelve million, five hundred twenty-seven thousand, nine hundred eighteen".