75536384 has 96 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 29368320.

The previous prime is 75536369. The next prime is 75536399. The reversal of 75536384 is 48363557.

It is an interprime number because it is at equal distance from previous prime (75536369) and next prime (75536399).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157457 + ... + 157935.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^75536384 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 75536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

75536384 is an abundant number, since it is smaller than the sum of its proper divisors (113161216).

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

75536384 is a wasteful number, since it uses less digits than its factorization.

75536384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 499 counting only the distinct ones).

The product of its digits is 302400, while the sum is 41.

The square root of 75536384 is about 8691.1670102467. The cubic root of 75536384 is about 422.7192872133.

The spelling of 75536384 in words is "seventy-five million, five hundred thirty-six thousand, three hundred eighty-four".