75889728 has 84 divisors (see below), whose sum is σ = 218724480. Its totient is φ = 25157376.

The previous prime is 75889727. The next prime is 75889733. The reversal of 75889728 is 82798857.

It is not an unprimeable number, because it can be changed into a prime (75889727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206601 + ... + 206967.

Almost surely, 2^75889728 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 75889728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109362240).

75889728 is an abundant number, since it is smaller than the sum of its proper divisors (142834752).

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

75889728 is a wasteful number, since it uses less digits than its factorization.

75889728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The square root of 75889728 is about 8711.4710583230. The cubic root of 75889728 is about 423.3773940266.

The spelling of 75889728 in words is "seventy-five million, eight hundred eighty-nine thousand, seven hundred twenty-eight".