112672080 has 80 divisors (see below), whose sum is σ = 388100160. Its totient is φ = 30045312.

The previous prime is 112672057. The next prime is 112672081. The reversal of 112672080 is 80276211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112672080² = 25389995223052800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112672081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23922 + ... + 28241.

It is an arithmetic number, because the mean of its divisors is an integer number (4851252).

Almost surely, 2^112672080 is an apocalyptic number.

112672080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112672080 is an abundant number, since it is smaller than the sum of its proper divisors (275428080).

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

112672080 is a wasteful number, since it uses less digits than its factorization.

112672080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52185 (or 52173 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 112672080 is about 10614.7105471605. The cubic root of 112672080 is about 482.9907023402.

The spelling of 112672080 in words is "one hundred twelve million, six hundred seventy-two thousand, eighty".