72224036717 has 12 divisors (see below), whose sum is σ = 84049830396. Its totient is φ = 61881180480.

The previous prime is 72224036693. The next prime is 72224036719. The reversal of 72224036717 is 71763042227.

It can be written as a sum of positive squares in 2 ways, for example, as 59470625956 + 12753410761 = 243866^2 + 112931^2 .

It is not a de Polignac number, because 72224036717 - 2¹⁸ = 72223774573 is a prime.

It is a super-2 number, since 2×72224036717² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72224036719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176834 + ... + 419187.

It is an arithmetic number, because the mean of its divisors is an integer number (7004152533).

Almost surely, 2^72224036717 is an apocalyptic number.

It is an amenable number.

72224036717 is a deficient number, since it is larger than the sum of its proper divisors (11825793679).

72224036717 is a wasteful number, since it uses less digits than its factorization.

72224036717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598508 (or 598501 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 72224036717 in words is "seventy-two billion, two hundred twenty-four million, thirty-six thousand, seven hundred seventeen".