7272444382009 has 9 divisors (see below), whose sum is σ = 7284727179471. Its totient is φ = 7260182273400.

The previous prime is 7272444381997. The next prime is 7272444382019. The reversal of 7272444382009 is 9002834442727.

The square root of 7272444382009 is 2696747.

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

It can be written as a sum of positive squares in only one way, i.e., 6272004333609 + 1000440048400 = 2504397^2 + 1000220^2 .

It is not a de Polignac number, because 7272444382009 - 2⁹ = 7272444381497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7272444382019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1890417724 + ... + 1890421570.

Almost surely, 2^{7272444382009} is an apocalyptic number.

7272444382009 is the 2696747-th square number.

7272444382009 is the 1348374-th centered octagonal number.

It is an amenable number.

7272444382009 is a deficient number, since it is larger than the sum of its proper divisors (12282797462).

7272444382009 is an frugal number, since it uses more digits than its factorization.

7272444382009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9096 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 52.

The spelling of 7272444382009 in words is "seven trillion, two hundred seventy-two billion, four hundred forty-four million, three hundred eighty-two thousand, nine".