72459 has 12 divisors (see below), whose sum is σ = 107016. Its totient is φ = 47232.

The previous prime is 72431. The next prime is 72461. The reversal of 72459 is 95427.

It is not a de Polignac number, because 72459 - 2⁹ = 71947 is a prime.

72459 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (72469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 699 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (8918).

2⁷²⁴⁵⁹ is an apocalyptic number.

72459 is a deficient number, since it is larger than the sum of its proper divisors (34557).

72459 is a wasteful number, since it uses less digits than its factorization.

72459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 183 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 72459 is about 269.1820945011. The cubic root of 72459 is about 41.6898928285.

The spelling of 72459 in words is "seventy-two thousand, four hundred fifty-nine".