112432320 has 672 divisors, whose sum is σ = 535472640. Its totient is φ = 21565440.

The previous prime is 112432297. The next prime is 112432379. The reversal of 112432320 is 23234211.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 112432293 and 112432302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8648634 + ... + 8648646.

Almost surely, 2^112432320 is an apocalyptic number.

112432320 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 112432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267736320).

112432320 is an abundant number, since it is smaller than the sum of its proper divisors (423040320).

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

112432320 is a wasteful number, since it uses less digits than its factorization.

112432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 112432320 is about 10603.4107720111. The cubic root of 112432320 is about 482.6478664811.

Adding to 112432320 its reverse (23234211), we get a palindrome (135666531).

The spelling of 112432320 in words is "one hundred twelve million, four hundred thirty-two thousand, three hundred twenty".