72935585 has 16 divisors (see below), whose sum is σ = 92501760. Its totient is φ = 55054080.

The previous prime is 72935581. The next prime is 72935647. The reversal of 72935585 is 58553927.

It is not a de Polignac number, because 72935585 - 2² = 72935581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72935581) 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 15 ways as a sum of consecutive naturals, for example, 24329 + ... + 27161.

It is an arithmetic number, because the mean of its divisors is an integer number (5781360).

Almost surely, 2^72935585 is an apocalyptic number.

It is an amenable number.

72935585 is a deficient number, since it is larger than the sum of its proper divisors (19566175).

72935585 is a wasteful number, since it uses less digits than its factorization.

72935585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128.

The product of its digits is 378000, while the sum is 44.

The square root of 72935585 is about 8540.2333106303. The cubic root of 72935585 is about 417.8109555481.

The spelling of 72935585 in words is "seventy-two million, nine hundred thirty-five thousand, five hundred eighty-five".