75008268 has 84 divisors (see below), whose sum is σ = 203822640. Its totient is φ = 24113376.

The previous prime is 75008261. The next prime is 75008279. The reversal of 75008268 is 86280057.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75008261) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 84121 + ... + 85007.

It is an arithmetic number, because the mean of its divisors is an integer number (2426460).

Almost surely, 2^75008268 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 75008268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101911320).

75008268 is an abundant number, since it is smaller than the sum of its proper divisors (128814372).

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

75008268 is a wasteful number, since it uses less digits than its factorization.

75008268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 75008268 is about 8660.7313778918. The cubic root of 75008268 is about 421.7318287510.

The spelling of 75008268 in words is "seventy-five million, eight thousand, two hundred sixty-eight".