112378752 has 96 divisors (see below), whose sum is σ = 335451480. Its totient is φ = 37449216.

The previous prime is 112378727. The next prime is 112378769. The reversal of 112378752 is 257873211.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29298 + ... + 32910.

Almost surely, 2^112378752 is an apocalyptic number.

112378752 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 112378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167725740).

112378752 is an abundant number, since it is smaller than the sum of its proper divisors (223072728).

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

112378752 is an frugal number, since it uses more digits than its factorization.

112378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3618 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 112378752 is about 10600.8844913998. The cubic root of 112378752 is about 482.5712023212.

The spelling of 112378752 in words is "one hundred twelve million, three hundred seventy-eight thousand, seven hundred fifty-two".