75578568 has 64 divisors (see below), whose sum is σ = 209012160. Its totient is φ = 22622976.

The previous prime is 75578567. The next prime is 75578593. The reversal of 75578568 is 86587557.

It is a self number, because there is not a number n which added to its sum of digits gives 75578568.

It is not an unprimeable number, because it can be changed into a prime (75578567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8271 + ... + 14817.

It is an arithmetic number, because the mean of its divisors is an integer number (3265815).

Almost surely, 2^75578568 is an apocalyptic number.

75578568 is a gapful number since it is divisible by the number (78) 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 75578568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104506080).

75578568 is an abundant number, since it is smaller than the sum of its proper divisors (133433592).

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

75578568 is a wasteful number, since it uses less digits than its factorization.

75578568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6602 counting only the distinct ones).

The product of its digits is 2352000, while the sum is 51.

The square root of 75578568 is about 8693.5935032643. The cubic root of 75578568 is about 422.7979630823.

The spelling of 75578568 in words is "seventy-five million, five hundred seventy-eight thousand, five hundred sixty-eight".