75685140 has 108 divisors (see below), whose sum is σ = 235469052. Its totient is φ = 19676160.

The previous prime is 75685133. The next prime is 75685193. The reversal of 75685140 is 4158657.

75685140 is a `hidden beast` number, since 7 + 568 + 51 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 53670276 + 22014864 = 7326^2 + 4692^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 75685095 and 75685104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 669724 + ... + 669836.

It is an arithmetic number, because the mean of its divisors is an integer number (2180269).

Almost surely, 2^75685140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75685140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117734526).

75685140 is an abundant number, since it is smaller than the sum of its proper divisors (159783912).

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

75685140 is a wasteful number, since it uses less digits than its factorization.

75685140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 75685140 is about 8699.7206851714. The cubic root of 75685140 is about 422.9965963880.

The spelling of 75685140 in words is "seventy-five million, six hundred eighty-five thousand, one hundred forty".