6872591 has 8 divisors (see below), whose sum is σ = 7516368. Its totient is φ = 6232000.

The previous prime is 6872581. The next prime is 6872603. The reversal of 6872591 is 1952786.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6872591 - 2¹⁰ = 6871567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6872501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7961 + ... + 8781.

It is an arithmetic number, because the mean of its divisors is an integer number (939546).

Almost surely, 2^6872591 is an apocalyptic number.

6872591 is a deficient number, since it is larger than the sum of its proper divisors (643777).

6872591 is a wasteful number, since it uses less digits than its factorization.

6872591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593.

The product of its digits is 30240, while the sum is 38.

The square root of 6872591 is about 2621.5627019013. The cubic root of 6872591 is about 190.1254112012.

The spelling of 6872591 in words is "six million, eight hundred seventy-two thousand, five hundred ninety-one".