472228721721 has 27 divisors (see below), whose sum is σ = 686951301231. Its totient is φ = 312599527344.

The previous prime is 472228721707. The next prime is 472228721737. The reversal of 472228721721 is 127127822274.

The square root of 472228721721 is 687189.

It is a perfect power (a square), and thus also a powerful number.

472228721721 is a `hidden beast` number, since 472 + 2 + 2 + 8 + 7 + 2 + 172 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138417482025 + 333811239696 = 372045^2 + 577764^2 .

It is not a de Polignac number, because 472228721721 - 2⁷ = 472228721593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (472228721791) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 323665290 + ... + 323666748.

Almost surely, 2^472228721721 is an apocalyptic number.

472228721721 is the 687189-th square number.

472228721721 is the 343595-th centered octagonal number.

It is an amenable number.

472228721721 is a deficient number, since it is larger than the sum of its proper divisors (214722579510).

472228721721 is an frugal number, since it uses more digits than its factorization.

472228721721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 1619 counting only the distinct ones).

The product of its digits is 351232, while the sum is 45.

The spelling of 472228721721 in words is "four hundred seventy-two billion, two hundred twenty-eight million, seven hundred twenty-one thousand, seven hundred twenty-one".