75685120 has 72 divisors (see below), whose sum is σ = 207212544. Its totient is φ = 25946112.

The previous prime is 75685109. The next prime is 75685133. The reversal of 75685120 is 2158657.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4737 + ... + 13183.

It is an arithmetic number, because the mean of its divisors is an integer number (2877952).

Almost surely, 2^75685120 is an apocalyptic number.

75685120 is a gapful number since it is divisible by the number (70) 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 75685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103606272).

75685120 is an abundant number, since it is smaller than the sum of its proper divisors (131527424).

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

75685120 is an equidigital number, since it uses as much as digits as its factorization.

75685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475 (or 8461 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 75685120 is about 8699.7195357092. The cubic root of 75685120 is about 422.9965591286.

The spelling of 75685120 in words is "seventy-five million, six hundred eighty-five thousand, one hundred twenty".