112432000 has 64 divisors (see below), whose sum is σ = 279573840. Its totient is φ = 44966400.

The previous prime is 112431997. The next prime is 112432003. The reversal of 112432000 is 234211.

It is an interprime number because it is at equal distance from previous prime (112431997) and next prime (112432003).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112432003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12487 + ... + 19513.

Almost surely, 2^112432000 is an apocalyptic number.

112432000 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 112432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139786920).

112432000 is an abundant number, since it is smaller than the sum of its proper divisors (167141840).

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

112432000 is an frugal number, since it uses more digits than its factorization.

112432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 112432000 is about 10603.3956825160. The cubic root of 112432000 is about 482.6474085835.

Adding to 112432000 its reverse (234211), we get a palindrome (112666211).

It can be divided in two parts, 1124 and 32000, that added together give a square (33124 = 182²).

The spelling of 112432000 in words is "one hundred twelve million, four hundred thirty-two thousand".