72859 has 2 divisors, whose sum is σ = 72860. Its totient is φ = 72858.

The previous prime is 72823. The next prime is 72869. The reversal of 72859 is 95827.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72859 - 2¹³ = 64667 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72859.

It is not a weakly prime, because it can be changed into another prime (72869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36429 + 36430.

It is an arithmetic number, because the mean of its divisors is an integer number (36430).

2⁷²⁸⁵⁹ is an apocalyptic number.

72859 is a deficient number, since it is larger than the sum of its proper divisors (1).

72859 is an equidigital number, since it uses as much as digits as its factorization.

72859 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 31.

The square root of 72859 is about 269.9240633956. The cubic root of 72859 is about 41.7664665465.

It can be divided in two parts, 728 and 59, that added together give a palindrome (787).

The spelling of 72859 in words is "seventy-two thousand, eight hundred fifty-nine".