75582960 has 80 divisors (see below), whose sum is σ = 241889280. Its totient is φ = 19503360.

The previous prime is 75582919. The next prime is 75582977. The reversal of 75582960 is 6928557.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2361 + ... + 12519.

It is an arithmetic number, because the mean of its divisors is an integer number (3023616).

Almost surely, 2^75582960 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 75582960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120944640).

75582960 is an abundant number, since it is smaller than the sum of its proper divisors (166306320).

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

75582960 is a wasteful number, since it uses less digits than its factorization.

75582960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10206 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 75582960 is about 8693.8460993970. The cubic root of 75582960 is about 422.8061527615.

The spelling of 75582960 in words is "seventy-five million, five hundred eighty-two thousand, nine hundred sixty".