75905 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 52992.

The previous prime is 75883. The next prime is 75913. The reversal of 75905 is 50957.

It is a cyclic number.

It is not a de Polignac number, because 75905 - 2¹² = 71809 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1592 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁷⁵⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

75905 is a deficient number, since it is larger than the sum of its proper divisors (27775).

75905 is a wasteful number, since it uses less digits than its factorization.

75905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 75905 is about 275.5086205548. The cubic root of 75905 is about 42.3405792186.

It can be divided in two parts, 7590 and 5, that multiplied together give a triangular number (37950 = T₂₇₅).

The spelling of 75905 in words is "seventy-five thousand, nine hundred five".