72306664 has 32 divisors (see below), whose sum is σ = 142427520. Its totient is φ = 34347456.

The previous prime is 72306649. The next prime is 72306671. The reversal of 72306664 is 46660327.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27637 + ... + 30139.

It is an arithmetic number, because the mean of its divisors is an integer number (4450860).

Almost surely, 2^72306664 is an apocalyptic number.

It is an amenable number.

72306664 is a deficient number, since it is larger than the sum of its proper divisors (70120856).

72306664 is a wasteful number, since it uses less digits than its factorization.

72306664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 72306664 is about 8503.3325231935. The cubic root of 72306664 is about 416.6065639886.

The spelling of 72306664 in words is "seventy-two million, three hundred six thousand, six hundred sixty-four".