112672768 has 90 divisors (see below), whose sum is σ = 253682114. Its totient is φ = 49741824.

The previous prime is 112672751. The next prime is 112672783. The reversal of 112672768 is 867276211.

It can be written as a sum of positive squares in only one way, i.e., 78004224 + 34668544 = 8832^2 + 5888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112672768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4898805 + ... + 4898827.

Almost surely, 2^112672768 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 112672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126841057).

112672768 is an abundant number, since it is smaller than the sum of its proper divisors (141009346).

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

112672768 is an frugal number, since it uses more digits than its factorization.

112672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 38 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The square root of 112672768 is about 10614.7429549660. The cubic root of 112672768 is about 482.9916854200.

The spelling of 112672768 in words is "one hundred twelve million, six hundred seventy-two thousand, seven hundred sixty-eight".