112291760 has 80 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 38293248.

The previous prime is 112291747. The next prime is 112291769. The reversal of 112291760 is 67192211.

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

It is not an unprimeable number, because it can be changed into a prime (112291769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133421 + ... + 134259.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^112291760 is an apocalyptic number.

112291760 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 112291760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

112291760 is an abundant number, since it is smaller than the sum of its proper divisors (187689040).

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

112291760 is a wasteful number, since it uses less digits than its factorization.

112291760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 112291760 is about 10596.7806431954. The cubic root of 112291760 is about 482.4466512825.

The spelling of 112291760 in words is "one hundred twelve million, two hundred ninety-one thousand, seven hundred sixty".