112427760 has 80 divisors (see below), whose sum is σ = 355977216. Its totient is φ = 29339904.

The previous prime is 112427759. The next prime is 112427771. The reversal of 112427760 is 67724211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6297 + ... + 16263.

Almost surely, 2^112427760 is an apocalyptic number.

112427760 is a gapful number since it is divisible by the number (10) 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 112427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177988608).

112427760 is an abundant number, since it is smaller than the sum of its proper divisors (243549456).

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

112427760 is a wasteful number, since it uses less digits than its factorization.

112427760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 112427760 is about 10603.1957446800. The cubic root of 112427760 is about 482.6413413585.

The spelling of 112427760 in words is "one hundred twelve million, four hundred twenty-seven thousand, seven hundred sixty".