75268 has 12 divisors (see below), whose sum is σ = 136192. Its totient is φ = 36360.

The previous prime is 75253. The next prime is 75269. The reversal of 75268 is 86257.

It is not an unprimeable number, because it can be changed into a prime (75269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180 + ... + 427.

2⁷⁵²⁶⁸ is an apocalyptic number.

It is an amenable number.

75268 is a deficient number, since it is larger than the sum of its proper divisors (60924).

75268 is a wasteful number, since it uses less digits than its factorization.

75268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 75268 is about 274.3501412429. The cubic root of 75268 is about 42.2218046537.

It can be divided in two parts, 752 and 68, that added together give a triangular number (820 = T₄₀).

The spelling of 75268 in words is "seventy-five thousand, two hundred sixty-eight".