112765248 has 84 divisors (see below), whose sum is σ = 325808340. Its totient is φ = 37287936.

The previous prime is 112765241. The next prime is 112765249. The reversal of 112765248 is 842567211.

112765248 is a `hidden beast` number, since 1 + 127 + 6 + 524 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 80138304 = 5712^2 + 8952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112765241) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 78198 + ... + 79626.

Almost surely, 2^112765248 is an apocalyptic number.

112765248 is a gapful number since it is divisible by the number (18) 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 112765248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162904170).

112765248 is an abundant number, since it is smaller than the sum of its proper divisors (213043092).

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

112765248 is a wasteful number, since it uses less digits than its factorization.

112765248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1571 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 112765248 is about 10619.0982668021. The cubic root of 112765248 is about 483.1237932243.

The spelling of 112765248 in words is "one hundred twelve million, seven hundred sixty-five thousand, two hundred forty-eight".