72213615909 has 64 divisors (see below), whose sum is σ = 110072558080. Its totient is φ = 46775439360.

The previous prime is 72213615907. The next prime is 72213615919. The reversal of 72213615909 is 90951631227.

It is a happy number.

72213615909 is a `hidden beast` number, since 7 + 2 + 21 + 3 + 615 + 9 + 0 + 9 = 666.

It is not a de Polignac number, because 72213615909 - 2¹ = 72213615907 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72213615907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49905024 + ... + 49906470.

It is an arithmetic number, because the mean of its divisors is an integer number (1719883720).

Almost surely, 2^72213615909 is an apocalyptic number.

It is an amenable number.

72213615909 is a deficient number, since it is larger than the sum of its proper divisors (37858942171).

72213615909 is a wasteful number, since it uses less digits than its factorization.

72213615909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 72213615909 in words is "seventy-two billion, two hundred thirteen million, six hundred fifteen thousand, nine hundred nine".