72587 has 4 divisors (see below), whose sum is σ = 75120. Its totient is φ = 70056.

The previous prime is 72577. The next prime is 72613. The reversal of 72587 is 78527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 78527 = 19 ⋅4133.

It is a cyclic number.

It is not a de Polignac number, because 72587 - 2¹⁰ = 71563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29), and also a Moran number because the ratio is a prime number: 2503 = 72587 / (7 + 2 + 5 + 8 + 7).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72587.

It is not an unprimeable number, because it can be changed into a prime (72547) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1223 + ... + 1280.

It is an arithmetic number, because the mean of its divisors is an integer number (18780).

2⁷²⁵⁸⁷ is an apocalyptic number.

72587 is a deficient number, since it is larger than the sum of its proper divisors (2533).

72587 is a wasteful number, since it uses less digits than its factorization.

72587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532.

The product of its digits is 3920, while the sum is 29.

The square root of 72587 is about 269.4197468635. The cubic root of 72587 is about 41.7144270116.

The spelling of 72587 in words is "seventy-two thousand, five hundred eighty-seven".