72830646 has 24 divisors (see below), whose sum is σ = 180342864. Its totient is φ = 20808720.

The previous prime is 72830623. The next prime is 72830663. The reversal of 72830646 is 64603827.

72830646 is a `hidden beast` number, since 7 + 2 + 8 + 3 + 0 + 646 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72830646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288885 + ... + 289136.

It is an arithmetic number, because the mean of its divisors is an integer number (7514286).

Almost surely, 2^72830646 is an apocalyptic number.

72830646 is an abundant number, since it is smaller than the sum of its proper divisors (107512218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72830646 is a wasteful number, since it uses less digits than its factorization.

72830646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578036 (or 578033 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72830646 is about 8534.0872974209. The cubic root of 72830646 is about 417.6104786092.

The spelling of 72830646 in words is "seventy-two million, eight hundred thirty thousand, six hundred forty-six".