72585615 has 16 divisors (see below), whose sum is σ = 116575200. Its totient is φ = 38566272.

The previous prime is 72585613. The next prime is 72585619. The reversal of 72585615 is 51658527.

It is not a de Polignac number, because 72585615 - 2¹ = 72585613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72585613) 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 15 ways as a sum of consecutive naturals, for example, 4960 + ... + 13029.

It is an arithmetic number, because the mean of its divisors is an integer number (7285950).

Almost surely, 2^72585615 is an apocalyptic number.

72585615 is a deficient number, since it is larger than the sum of its proper divisors (43989585).

72585615 is a wasteful number, since it uses less digits than its factorization.

72585615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18266.

The product of its digits is 84000, while the sum is 39.

The square root of 72585615 is about 8519.7191855131. The cubic root of 72585615 is about 417.1416169853.

The spelling of 72585615 in words is "seventy-two million, five hundred eighty-five thousand, six hundred fifteen".