107307072 has 56 divisors (see below), whose sum is σ = 315468000. Its totient is φ = 35768448.

The previous prime is 107307071. The next prime is 107307073. The reversal of 107307072 is 270703701.

It is an interprime number because it is at equal distance from previous prime (107307071) and next prime (107307073).

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 (107307071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29322 + ... + 32777.

Almost surely, 2^107307072 is an apocalyptic number.

107307072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107307072 is an abundant number, since it is smaller than the sum of its proper divisors (208160928).

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

107307072 is an equidigital number, since it uses as much as digits as its factorization.

107307072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62120 (or 62104 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 107307072 is about 10358.9126842541. The cubic root of 107307072 is about 475.1996530964.

The spelling of 107307072 in words is "one hundred seven million, three hundred seven thousand, seventy-two".