72233052301 has 2 divisors, whose sum is σ = 72233052302. Its totient is φ = 72233052300.

The previous prime is 72233052299. The next prime is 72233052313. The reversal of 72233052301 is 10325033227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65231714025 + 7001338276 = 255405^2 + 83674^2 .

It is an emirp because it is prime and its reverse (10325033227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72233052301 - 2¹ = 72233052299 is a prime.

It is a super-2 number, since 2×72233052301² (a number of 23 digits) contains 22 as substring.

Together with 72233052299, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 72233052301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72233052391) 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 as a sum of consecutive naturals, namely, 36116526150 + 36116526151.

It is an arithmetic number, because the mean of its divisors is an integer number (36116526151).

Almost surely, 2^72233052301 is an apocalyptic number.

It is an amenable number.

72233052301 is a deficient number, since it is larger than the sum of its proper divisors (1).

72233052301 is an equidigital number, since it uses as much as digits as its factorization.

72233052301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 28.

Adding to 72233052301 its reverse (10325033227), we get a palindrome (82558085528).

The spelling of 72233052301 in words is "seventy-two billion, two hundred thirty-three million, fifty-two thousand, three hundred one".