75684384 has 72 divisors (see below), whose sum is σ = 216166860. Its totient is φ = 25118208.

The previous prime is 75684383. The next prime is 75684407. The reversal of 75684384 is 48348657.

75684384 is a `hidden beast` number, since 7 + 568 + 4 + 3 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71571600 + 4112784 = 8460^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (75684383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90882 + ... + 91710.

Almost surely, 2^75684384 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 75684384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108083430).

75684384 is an abundant number, since it is smaller than the sum of its proper divisors (140482476).

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

75684384 is a wasteful number, since it uses less digits than its factorization.

75684384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1151 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 75684384 is about 8699.6772353921. The cubic root of 75684384 is about 422.9951879807.

The spelling of 75684384 in words is "seventy-five million, six hundred eighty-four thousand, three hundred eighty-four".