112377720 has 256 divisors, whose sum is σ = 426746880. Its totient is φ = 23040000.

The previous prime is 112377703. The next prime is 112377721. The reversal of 112377720 is 27773211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112377721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447595 + ... + 447845.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2^112377720 is an apocalyptic number.

112377720 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 112377720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

112377720 is an abundant number, since it is smaller than the sum of its proper divisors (314369160).

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

112377720 is a wasteful number, since it uses less digits than its factorization.

112377720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 112377720 is about 10600.8358161043. The cubic root of 112377720 is about 482.5697251291.

The spelling of 112377720 in words is "one hundred twelve million, three hundred seventy-seven thousand, seven hundred twenty".