112723488 has 120 divisors (see below), whose sum is σ = 334832652. Its totient is φ = 37200384.

The previous prime is 112723477. The next prime is 112723517. The reversal of 112723488 is 884327211.

It can be written as a sum of positive squares in 2 ways, for example, as 103795344 + 8928144 = 10188^2 + 2988^2 .

It is a super-2 number, since 2×112723488² = 25413169493772288, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 406806 + ... + 407082.

Almost surely, 2^112723488 is an apocalyptic number.

112723488 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 112723488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167416326).

112723488 is an abundant number, since it is smaller than the sum of its proper divisors (222109164).

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

112723488 is a wasteful number, since it uses less digits than its factorization.

112723488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 112723488 is about 10617.1318160791. The cubic root of 112723488 is about 483.0641479555.

It can be divided in two parts, 1 and 12723488, that added together give a square (12723489 = 3567²).

The spelling of 112723488 in words is "one hundred twelve million, seven hundred twenty-three thousand, four hundred eighty-eight".