112972440 has 96 divisors (see below), whose sum is σ = 394271280. Its totient is φ = 25820928.

The previous prime is 112972421. The next prime is 112972471. The reversal of 112972440 is 44279211.

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

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 112972398 and 112972407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3727 + ... + 15486.

Almost surely, 2^112972440 is an apocalyptic number.

112972440 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 112972440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197135640).

112972440 is an abundant number, since it is smaller than the sum of its proper divisors (281298840).

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

112972440 is a wasteful number, since it uses less digits than its factorization.

112972440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19241 (or 19230 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 112972440 is about 10628.8494203277. The cubic root of 112972440 is about 483.4195053122.

The spelling of 112972440 in words is "one hundred twelve million, nine hundred seventy-two thousand, four hundred forty".