75475968 has 88 divisors (see below), whose sum is σ = 204372480. Its totient is φ = 24760320.

The previous prime is 75475919. The next prime is 75475993. The reversal of 75475968 is 86957457.

It is a self number, because there is not a number n which added to its sum of digits gives 75475968.

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, 242533 + ... + 242843.

Almost surely, 2^75475968 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 75475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102186240).

75475968 is an abundant number, since it is smaller than the sum of its proper divisors (128896512).

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

75475968 is a wasteful number, since it uses less digits than its factorization.

75475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The square root of 75475968 is about 8687.6906022257. The cubic root of 75475968 is about 422.6065564600.

The spelling of 75475968 in words is "seventy-five million, four hundred seventy-five thousand, nine hundred sixty-eight".