112970592 has 96 divisors (see below), whose sum is σ = 376588800. Its totient is φ = 32275584.

The previous prime is 112970567. The next prime is 112970609. The reversal of 112970592 is 295079211.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3292 + ... + 15387.

It is an arithmetic number, because the mean of its divisors is an integer number (3922800).

Almost surely, 2^112970592 is an apocalyptic number.

112970592 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 112970592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188294400).

112970592 is an abundant number, since it is smaller than the sum of its proper divisors (263618208).

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

112970592 is a wasteful number, since it uses less digits than its factorization.

112970592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18705 (or 18691 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 112970592 is about 10628.7624867620. The cubic root of 112970592 is about 483.4168693769.

The spelling of 112970592 in words is "one hundred twelve million, nine hundred seventy thousand, five hundred ninety-two".