112761504 has 96 divisors (see below), whose sum is σ = 346248000. Its totient is φ = 35603712.

The previous prime is 112761503. The next prime is 112761589. The reversal of 112761504 is 405167211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112761503) 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, 12982 + ... + 19850.

It is an arithmetic number, because the mean of its divisors is an integer number (3606750).

Almost surely, 2^112761504 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 112761504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173124000).

112761504 is an abundant number, since it is smaller than the sum of its proper divisors (233486496).

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

112761504 is a wasteful number, since it uses less digits than its factorization.

112761504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6893 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 112761504 is about 10618.9219791841. The cubic root of 112761504 is about 483.1184463184.

The spelling of 112761504 in words is "one hundred twelve million, seven hundred sixty-one thousand, five hundred four".