112410072 has 64 divisors (see below), whose sum is σ = 316572000. Its totient is φ = 36951552.

The previous prime is 112410049. The next prime is 112410079. The reversal of 112410072 is 270014211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112410079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12204 + ... + 19332.

Almost surely, 2^112410072 is an apocalyptic number.

112410072 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 112410072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158286000).

112410072 is an abundant number, since it is smaller than the sum of its proper divisors (204161928).

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

112410072 is a wasteful number, since it uses less digits than its factorization.

112410072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 112410072 is about 10602.3616237138. The cubic root of 112410072 is about 482.6160290816.

Adding to 112410072 its reverse (270014211), we get a palindrome (382424283).

The spelling of 112410072 in words is "one hundred twelve million, four hundred ten thousand, seventy-two".