75580728 has 96 divisors (see below), whose sum is σ = 203763600. Its totient is φ = 23331840.

The previous prime is 75580667. The next prime is 75580777. The reversal of 75580728 is 82708557.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 75580728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668800 + ... + 668912.

Almost surely, 2^75580728 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 75580728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101881800).

75580728 is an abundant number, since it is smaller than the sum of its proper divisors (128182872).

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

75580728 is a wasteful number, since it uses less digits than its factorization.

75580728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 75580728 is about 8693.7177317877. The cubic root of 75580728 is about 422.8019908330.

It can be divided in two parts, 755807 and 28, that added together give a triangular number (755835 = T₁₂₂₉).

The spelling of 75580728 in words is "seventy-five million, five hundred eighty thousand, seven hundred twenty-eight".