75093984 has 108 divisors (see below), whose sum is σ = 245326536. Its totient is φ = 21344256.

The previous prime is 75093983. The next prime is 75094007. The reversal of 75093984 is 48939057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75093983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 388992 + ... + 389184.

It is an arithmetic number, because the mean of its divisors is an integer number (2271542).

Almost surely, 2^75093984 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 75093984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122663268).

75093984 is an abundant number, since it is smaller than the sum of its proper divisors (170232552).

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

75093984 is a wasteful number, since it uses less digits than its factorization.

75093984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 75093984 is about 8665.6785077684. The cubic root of 75093984 is about 421.8924128451.

The spelling of 75093984 in words is "seventy-five million, ninety-three thousand, nine hundred eighty-four".