75859 has 4 divisors (see below), whose sum is σ = 86704. Its totient is φ = 65016.

The previous prime is 75853. The next prime is 75869. The reversal of 75859 is 95857.

75859 = 67² + 68² + ... + 80².

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 75859 - 2⁷ = 75731 is a prime.

It is a Duffinian number.

75859 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (75853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5412 + ... + 5425.

It is an arithmetic number, because the mean of its divisors is an integer number (21676).

2⁷⁵⁸⁵⁹ is an apocalyptic number.

75859 is a deficient number, since it is larger than the sum of its proper divisors (10845).

75859 is a wasteful number, since it uses less digits than its factorization.

75859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10844.

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

The square root of 75859 is about 275.4251259417. The cubic root of 75859 is about 42.3320244014.

It can be divided in two parts, 7585 and 9, that multiplied together give a triangular number (68265 = T₃₆₉).

The spelling of 75859 in words is "seventy-five thousand, eight hundred fifty-nine".