112072800 has 216 divisors, whose sum is σ = 424800936. Its totient is φ = 25589760.

The previous prime is 112072783. The next prime is 112072837. The reversal of 112072800 is 8270211.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 35 ways as a sum of consecutive naturals, for example, 117124 + ... + 118076.

It is an arithmetic number, because the mean of its divisors is an integer number (1966671).

Almost surely, 2^112072800 is an apocalyptic number.

112072800 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 112072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212400468).

112072800 is an abundant number, since it is smaller than the sum of its proper divisors (312728136).

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

112072800 is a wasteful number, since it uses less digits than its factorization.

112072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 112072800 is about 10586.4441622294. Note that the first 3 decimals coincide. The cubic root of 112072800 is about 482.1328697128.

It can be divided in two parts, 1120 and 72800, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 112072800 in words is "one hundred twelve million, seventy-two thousand, eight hundred".