72564249 has 12 divisors (see below), whose sum is σ = 102114096. Its totient is φ = 45829368.

The previous prime is 72564209. The next prime is 72564251. The reversal of 72564249 is 94246527.

It is not a de Polignac number, because 72564249 - 2⁹ = 72563737 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.

It is not an unprimeable number, because it can be changed into a prime (72564209) 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 11 ways as a sum of consecutive naturals, for example, 32419 + ... + 34584.

It is an arithmetic number, because the mean of its divisors is an integer number (8509508).

Almost surely, 2^72564249 is an apocalyptic number.

It is an amenable number.

72564249 is a deficient number, since it is larger than the sum of its proper divisors (29549847).

72564249 is a wasteful number, since it uses less digits than its factorization.

72564249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67044 (or 67025 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 72564249 is about 8518.4651786575. The cubic root of 72564249 is about 417.1006836111.

The spelling of 72564249 in words is "seventy-two million, five hundred sixty-four thousand, two hundred forty-nine".