112720464 has 160 divisors (see below), whose sum is σ = 352358400. Its totient is φ = 34369920.

The previous prime is 112720459. The next prime is 112720469. The reversal of 112720464 is 464027211.

It is an interprime number because it is at equal distance from previous prime (112720459) and next prime (112720469).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112720469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254227 + ... + 254669.

It is an arithmetic number, because the mean of its divisors is an integer number (2202240).

Almost surely, 2^112720464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112720464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176179200).

112720464 is an abundant number, since it is smaller than the sum of its proper divisors (239637936).

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

112720464 is a wasteful number, since it uses less digits than its factorization.

112720464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 112720464 is about 10616.9894037811. The cubic root of 112720464 is about 483.0598282434.

Adding to 112720464 its reverse (464027211), we get a palindrome (576747675).

The spelling of 112720464 in words is "one hundred twelve million, seven hundred twenty thousand, four hundred sixty-four".