72586 has 4 divisors (see below), whose sum is σ = 108882. Its totient is φ = 36292.

The previous prime is 72577. The next prime is 72613. The reversal of 72586 is 68527.

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

It can be written as a sum of positive squares in only one way, i.e., 72361 + 225 = 269^2 + 15^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18145 + ... + 18148.

2⁷²⁵⁸⁶ is an apocalyptic number.

72586 is a deficient number, since it is larger than the sum of its proper divisors (36296).

72586 is a wasteful number, since it uses less digits than its factorization.

72586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36295.

The product of its digits is 3360, while the sum is 28.

The square root of 72586 is about 269.4178910169. The cubic root of 72586 is about 41.7142354502.

The spelling of 72586 in words is "seventy-two thousand, five hundred eighty-six".