112032720 has 280 divisors, whose sum is σ = 417167496. Its totient is φ = 27869184.

The previous prime is 112032719. The next prime is 112032743. The reversal of 112032720 is 27230211.

It can be written as a sum of positive squares in 4 ways, for example, as 2286144 + 109746576 = 1512^2 + 10476^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112032693 and 112032702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 991384 + ... + 991496.

Almost surely, 2^112032720 is an apocalyptic number.

112032720 is a gapful number since it is divisible by the number (10) 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 112032720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208583748).

112032720 is an abundant number, since it is smaller than the sum of its proper divisors (305134776).

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

112032720 is a wasteful number, since it uses less digits than its factorization.

112032720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 112032720 is about 10584.5510060654. The cubic root of 112032720 is about 482.0753886545.

Adding to 112032720 its reverse (27230211), we get a palindrome (139262931).

The spelling of 112032720 in words is "one hundred twelve million, thirty-two thousand, seven hundred twenty".