112741632 has 90 divisors (see below), whose sum is σ = 336236978. Its totient is φ = 37573632.

The previous prime is 112741621. The next prime is 112741669. The reversal of 112741632 is 236147211.

112741632 is a `hidden beast` number, since 1 + 1 + 27 + 4 + 1 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98724096 + 14017536 = 9936^2 + 3744^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112741596 and 112741605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18018 + ... + 23454.

Almost surely, 2^112741632 is an apocalyptic number.

112741632 is a gapful number since it is divisible by the number (12) 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 112741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168118489).

112741632 is an abundant number, since it is smaller than the sum of its proper divisors (223495346).

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

112741632 is an frugal number, since it uses more digits than its factorization.

112741632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5442 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 112741632 is about 10617.9862497556. The cubic root of 112741632 is about 483.0900646059.

Adding to 112741632 its reverse (236147211), we get a palindrome (348888843).

The spelling of 112741632 in words is "one hundred twelve million, seven hundred forty-one thousand, six hundred thirty-two".