72582393 has 16 divisors (see below), whose sum is σ = 104404160. Its totient is φ = 44587584.

The previous prime is 72582379. The next prime is 72582403. The reversal of 72582393 is 39328527.

It is not a de Polignac number, because 72582393 - 2⁵ = 72582361 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72581393) 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, 27318 + ... + 29856.

It is an arithmetic number, because the mean of its divisors is an integer number (6525260).

Almost surely, 2^72582393 is an apocalyptic number.

It is an amenable number.

72582393 is a deficient number, since it is larger than the sum of its proper divisors (31821767).

72582393 is a wasteful number, since it uses less digits than its factorization.

72582393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288.

The product of its digits is 90720, while the sum is 39.

The square root of 72582393 is about 8519.5300926753. The cubic root of 72582393 is about 417.1354447331.

The spelling of 72582393 in words is "seventy-two million, five hundred eighty-two thousand, three hundred ninety-three".