72333224201 has 12 divisors (see below), whose sum is σ = 84212166852. Its totient is φ = 61948742688.

The previous prime is 72333224191. The next prime is 72333224233. The reversal of 72333224201 is 10242233327.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9374886976 + 62958337225 = 96824^2 + 250915^2 .

It is not a de Polignac number, because 72333224201 - 2⁶ = 72333224137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72333224701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549050 + ... + 667923.

It is an arithmetic number, because the mean of its divisors is an integer number (7017680571).

Almost surely, 2^72333224201 is an apocalyptic number.

It is an amenable number.

72333224201 is a deficient number, since it is larger than the sum of its proper divisors (11878942651).

72333224201 is a wasteful number, since it uses less digits than its factorization.

72333224201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218200 (or 1218193 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

Adding to 72333224201 its reverse (10242233327), we get a palindrome (82575457528).

The spelling of 72333224201 in words is "seventy-two billion, three hundred thirty-three million, two hundred twenty-four thousand, two hundred one".