112289772 has 162 divisors, whose sum is σ = 336266028. Its totient is φ = 29072736.

The previous prime is 112289767. The next prime is 112289797. The reversal of 112289772 is 277982211.

It is a self number, because there is not a number n which added to its sum of digits gives 112289772.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4882153 + ... + 4882175.

Almost surely, 2^112289772 is an apocalyptic number.

112289772 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 112289772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168133014).

112289772 is an abundant number, since it is smaller than the sum of its proper divisors (223976256).

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

112289772 is a wasteful number, since it uses less digits than its factorization.

112289772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 112289772 is about 10596.6868407064. The cubic root of 112289772 is about 482.4438042063.

The spelling of 112289772 in words is "one hundred twelve million, two hundred eighty-nine thousand, seven hundred seventy-two".