72706585 has 32 divisors (see below), whose sum is σ = 102539520. Its totient is φ = 48463872.

The previous prime is 72706583. The next prime is 72706609. The reversal of 72706585 is 58560727.

It is a cyclic number.

It is not a de Polignac number, because 72706585 - 2¹ = 72706583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72706583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282777 + ... + 283033.

It is an arithmetic number, because the mean of its divisors is an integer number (3204360).

Almost surely, 2^72706585 is an apocalyptic number.

It is an amenable number.

72706585 is a deficient number, since it is larger than the sum of its proper divisors (29832935).

72706585 is a wasteful number, since it uses less digits than its factorization.

72706585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465.

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 72706585 is about 8526.8156424306. The cubic root of 72706585 is about 417.3732221709.

The spelling of 72706585 in words is "seventy-two million, seven hundred six thousand, five hundred eighty-five".