75387984 has 80 divisors (see below), whose sum is σ = 225164160. Its totient is φ = 21288960.

The previous prime is 75387973. The next prime is 75388003. The reversal of 75387984 is 48978357.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28644 + ... + 31164.

It is an arithmetic number, because the mean of its divisors is an integer number (2814552).

Almost surely, 2^75387984 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 75387984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112582080).

75387984 is an abundant number, since it is smaller than the sum of its proper divisors (149776176).

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

75387984 is a wasteful number, since it uses less digits than its factorization.

75387984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2622 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 75387984 is about 8682.6254094024. The cubic root of 75387984 is about 422.4422786825.

The spelling of 75387984 in words is "seventy-five million, three hundred eighty-seven thousand, nine hundred eighty-four".