75895 has 8 divisors (see below), whose sum is σ = 93456. Its totient is φ = 59136.

The previous prime is 75883. The next prime is 75913. The reversal of 75895 is 59857.

75895 = 64² + 65² + ... + 78².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75895 - 2⁷ = 75767 is a prime.

It is a Duffinian number.

75895 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 75895.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 42.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 391.

It is an arithmetic number, because the mean of its divisors is an integer number (11682).

2⁷⁵⁸⁹⁵ is an apocalyptic number.

75895 is a deficient number, since it is larger than the sum of its proper divisors (17561).

75895 is a wasteful number, since it uses less digits than its factorization.

75895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its digits is 12600, while the sum is 34.

The square root of 75895 is about 275.4904717046. The cubic root of 75895 is about 42.3387197698.

It can be divided in two parts, 758 and 95, that multiplied together give a triangular number (72010 = T₃₇₉).

The spelling of 75895 in words is "seventy-five thousand, eight hundred ninety-five".