72573585 has 32 divisors (see below), whose sum is σ = 133116672. Its totient is φ = 33073920.

The previous prime is 72573583. The next prime is 72573619. The reversal of 72573585 is 58537527.

It is not a de Polignac number, because 72573585 - 2¹ = 72573583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72573583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40815 + ... + 42555.

It is an arithmetic number, because the mean of its divisors is an integer number (4159896).

Almost surely, 2^72573585 is an apocalyptic number.

It is an amenable number.

72573585 is a deficient number, since it is larger than the sum of its proper divisors (60543087).

72573585 is a wasteful number, since it uses less digits than its factorization.

72573585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153.

The product of its digits is 294000, while the sum is 42.

The square root of 72573585 is about 8519.0131470728. The cubic root of 72573585 is about 417.1185706792.

The spelling of 72573585 in words is "seventy-two million, five hundred seventy-three thousand, five hundred eighty-five".