75936384 has 96 divisors (see below), whose sum is σ = 226149300. Its totient is φ = 24428544.

The previous prime is 75936373. The next prime is 75936389. The reversal of 75936384 is 48363957.

75936384 is a `hidden beast` number, since 7 + 5 + 9 + 3 + 638 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71774784 + 4161600 = 8472^2 + 2040^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (75936389) 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, 32272 + ... + 34544.

Almost surely, 2^75936384 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 75936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113074650).

75936384 is an abundant number, since it is smaller than the sum of its proper divisors (150212916).

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

75936384 is a wasteful number, since it uses less digits than its factorization.

75936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2307 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 75936384 is about 8714.1484954068. The cubic root of 75936384 is about 423.4641385247.

The spelling of 75936384 in words is "seventy-five million, nine hundred thirty-six thousand, three hundred eighty-four".