112672560 has 480 divisors, whose sum is σ = 484468992. Its totient is φ = 21288960.

The previous prime is 112672559. The next prime is 112672577. The reversal of 112672560 is 65276211.

It is a super-3 number, since 3×112672560³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1681647 + ... + 1681713.

Almost surely, 2^112672560 is an apocalyptic number.

112672560 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 112672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242234496).

112672560 is an abundant number, since it is smaller than the sum of its proper divisors (371796432).

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

112672560 is a wasteful number, since it uses less digits than its factorization.

112672560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 112672560 is about 10614.7331572678. The cubic root of 112672560 is about 482.9913882102.

The spelling of 112672560 in words is "one hundred twelve million, six hundred seventy-two thousand, five hundred sixty".