112727408 has 80 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 49459200.

The previous prime is 112727387. The next prime is 112727441. The reversal of 112727408 is 804727211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244298 + ... + 244758.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^112727408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112727408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

112727408 is an abundant number, since it is smaller than the sum of its proper divisors (134756752).

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

112727408 is a wasteful number, since it uses less digits than its factorization.

112727408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 112727408 is about 10617.3164217706. The cubic root of 112727408 is about 483.0697474673.

The spelling of 112727408 in words is "one hundred twelve million, seven hundred twenty-seven thousand, four hundred eight".