112464672 has 48 divisors (see below), whose sum is σ = 298559520. Its totient is φ = 37064192.

The previous prime is 112464643. The next prime is 112464713. The reversal of 112464672 is 276464211.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (6219990).

Almost surely, 2^112464672 is an apocalyptic number.

112464672 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 112464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149279760).

112464672 is an abundant number, since it is smaller than the sum of its proper divisors (186094848).

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

112464672 is a wasteful number, since it uses less digits than its factorization.

112464672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13265 (or 13257 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 112464672 is about 10604.9362091434. The cubic root of 112464672 is about 482.6941554436.

The spelling of 112464672 in words is "one hundred twelve million, four hundred sixty-four thousand, six hundred seventy-two".