112923072 has 168 divisors, whose sum is σ = 344491056. Its totient is φ = 36661248.

The previous prime is 112923067. The next prime is 112923113. The reversal of 112923072 is 270329211.

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

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, 824188 + ... + 824324.

It is an arithmetic number, because the mean of its divisors is an integer number (2050542).

Almost surely, 2^112923072 is an apocalyptic number.

112923072 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 112923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172245528).

112923072 is an abundant number, since it is smaller than the sum of its proper divisors (231567984).

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

112923072 is an equidigital number, since it uses as much as digits as its factorization.

112923072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 112923072 is about 10626.5268079462. The cubic root of 112923072 is about 483.3490783086.

The spelling of 112923072 in words is "one hundred twelve million, nine hundred twenty-three thousand, seventy-two".