72000721206101 has 2 divisors, whose sum is σ = 72000721206102. Its totient is φ = 72000721206100.

The previous prime is 72000721206079. The next prime is 72000721206103. The reversal of 72000721206101 is 10160212700027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39639993760900 + 32360727445201 = 6296030^2 + 5688649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72000721206101 is a prime.

Together with 72000721206103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72000721206103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36000360603050 + 36000360603051.

It is an arithmetic number, because the mean of its divisors is an integer number (36000360603051).

Almost surely, 2^{72000721206101} is an apocalyptic number.

It is an amenable number.

72000721206101 is a deficient number, since it is larger than the sum of its proper divisors (1).

72000721206101 is an equidigital number, since it uses as much as digits as its factorization.

72000721206101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 29.

Adding to 72000721206101 its reverse (10160212700027), we get a palindrome (82160933906128).

The spelling of 72000721206101 in words is "seventy-two trillion, seven hundred twenty-one million, two hundred six thousand, one hundred one".