112689720 has 288 divisors, whose sum is σ = 435708000. Its totient is φ = 25090560.

The previous prime is 112689701. The next prime is 112689727. The reversal of 112689720 is 27986211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112689727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 566181 + ... + 566379.

It is an arithmetic number, because the mean of its divisors is an integer number (1512875).

Almost surely, 2^112689720 is an apocalyptic number.

112689720 is a gapful number since it is divisible by the number (10) 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 112689720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217854000).

112689720 is an abundant number, since it is smaller than the sum of its proper divisors (323018280).

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

112689720 is a wasteful number, since it uses less digits than its factorization.

112689720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 112689720 is about 10615.5414369687. The cubic root of 112689720 is about 483.0159067842.

The spelling of 112689720 in words is "one hundred twelve million, six hundred eighty-nine thousand, seven hundred twenty".