72559 has 2 divisors, whose sum is σ = 72560. Its totient is φ = 72558.

The previous prime is 72551. The next prime is 72577. The reversal of 72559 is 95527.

It is a weak prime.

It is an emirp because it is prime and its reverse (95527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72559 - 2³ = 72551 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36279 + 36280.

It is an arithmetic number, because the mean of its divisors is an integer number (36280).

2⁷²⁵⁵⁹ is an apocalyptic number.

72559 is a deficient number, since it is larger than the sum of its proper divisors (1).

72559 is an equidigital number, since it uses as much as digits as its factorization.

72559 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3150, while the sum is 28.

The square root of 72559 is about 269.3677783255. The cubic root of 72559 is about 41.7090626251.

It can be divided in two parts, 725 and 59, that added together give a square (784 = 28²).

The spelling of 72559 in words is "seventy-two thousand, five hundred fifty-nine".