72582965 has 36 divisors (see below), whose sum is σ = 109775844. Its totient is φ = 45916416.

The previous prime is 72582959. The next prime is 72582973. The reversal of 72582965 is 56928527.

It can be written as a sum of positive squares in 6 ways, for example, as 35153041 + 37429924 = 5929^2 + 6118^2 .

It is not a de Polignac number, because 72582965 - 2⁶ = 72582901 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 40529 + ... + 42281.

It is an arithmetic number, because the mean of its divisors is an integer number (3049329).

Almost surely, 2^72582965 is an apocalyptic number.

It is an amenable number.

72582965 is a deficient number, since it is larger than the sum of its proper divisors (37192879).

72582965 is a wasteful number, since it uses less digits than its factorization.

72582965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1778 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 72582965 is about 8519.5636625358. The cubic root of 72582965 is about 417.1365405032.

The spelling of 72582965 in words is "seventy-two million, five hundred eighty-two thousand, nine hundred sixty-five".