75568640 has 80 divisors (see below), whose sum is σ = 207120672. Its totient is φ = 25903104.

The previous prime is 75568631. The next prime is 75568667. The reversal of 75568640 is 4686557.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15812 + ... + 20028.

Almost surely, 2^75568640 is an apocalyptic number.

75568640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103560336).

75568640 is an abundant number, since it is smaller than the sum of its proper divisors (131552032).

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

75568640 is an equidigital number, since it uses as much as digits as its factorization.

75568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 75568640 is about 8693.0224893302. The cubic root of 75568640 is about 422.7794493594.

The spelling of 75568640 in words is "seventy-five million, five hundred sixty-eight thousand, six hundred forty".