107685072 has 320 divisors, whose sum is σ = 377118720. Its totient is φ = 29030400.

The previous prime is 107685043. The next prime is 107685073. The reversal of 107685072 is 270586701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107685073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2504283 + ... + 2504325.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 2^107685072 is an apocalyptic number.

107685072 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 107685072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

107685072 is an abundant number, since it is smaller than the sum of its proper divisors (269433648).

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

107685072 is a wasteful number, since it uses less digits than its factorization.

107685072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 107685072 is about 10377.1418030207. The cubic root of 107685072 is about 475.7569787881.

The spelling of 107685072 in words is "one hundred seven million, six hundred eighty-five thousand, seventy-two".