72082585 has 8 divisors (see below), whose sum is σ = 86822280. Its totient is φ = 57450624.

The previous prime is 72082573. The next prime is 72082607. The reversal of 72082585 is 58528027.

It can be written as a sum of positive squares in 4 ways, for example, as 104329 + 71978256 = 323^2 + 8484^2 .

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 72082585 - 2¹¹ = 72080537 is a prime.

It is an unprimeable number.

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, 25452 + ... + 28141.

It is an arithmetic number, because the mean of its divisors is an integer number (10852785).

Almost surely, 2^72082585 is an apocalyptic number.

It is an amenable number.

72082585 is a deficient number, since it is larger than the sum of its proper divisors (14739695).

72082585 is a wasteful number, since it uses less digits than its factorization.

72082585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53867.

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 72082585 is about 8490.1463473841. The cubic root of 72082585 is about 416.1757628371.

The spelling of 72082585 in words is "seventy-two million, eighty-two thousand, five hundred eighty-five".