112680072 has 84 divisors (see below), whose sum is σ = 319063095. Its totient is φ = 37289808.

The previous prime is 112680047. The next prime is 112680079. The reversal of 112680072 is 270086211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 56340036 + 56340036 = 7506^2 + 7506^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7506.

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

It is not an unprimeable number, because it can be changed into a prime (112680079) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 810579 + ... + 810717.

Almost surely, 2^112680072 is an apocalyptic number.

112680072 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 112680072

112680072 is an abundant number, since it is smaller than the sum of its proper divisors (206383023).

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

112680072 is an frugal number, since it uses more digits than its factorization.

112680072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 144 counting only the distinct ones).

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

The square root of 112680072 is about 10615.0869991725. The cubic root of 112680072 is about 483.0021218224.

The spelling of 112680072 in words is "one hundred twelve million, six hundred eighty thousand, seventy-two".