112472640 has 252 divisors, whose sum is σ = 450584316. Its totient is φ = 25675776.

The previous prime is 112472639. The next prime is 112472651. The reversal of 112472640 is 46274211.

112472640 is a `hidden beast` number, since 1 + 12 + 4 + 7 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 65028096 = 6888^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140722 + ... + 141518.

It is an arithmetic number, because the mean of its divisors is an integer number (1788033).

Almost surely, 2^112472640 is an apocalyptic number.

112472640 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 112472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225292158).

112472640 is an abundant number, since it is smaller than the sum of its proper divisors (338111676).

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

112472640 is a wasteful number, since it uses less digits than its factorization.

112472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 112472640 is about 10605.3118766022. The cubic root of 112472640 is about 482.7055546268.

The spelling of 112472640 in words is "one hundred twelve million, four hundred seventy-two thousand, six hundred forty".