72000000000001 has 2 divisors, whose sum is σ = 72000000000002. Its totient is φ = 72000000000000.

The previous prime is 71999999999959. The next prime is 72000000000013. The reversal of 72000000000001 is 10000000000027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71615598760000 + 384401240001 = 8462600^2 + 620001^2 .

It is a cyclic number.

It is not a de Polignac number, because 72000000000001 - 2²⁹ = 71999463129089 is a prime.

It is not a weakly prime, because it can be changed into another prime (72000000030001) 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 as a sum of consecutive naturals, namely, 36000000000000 + 36000000000001.

It is an arithmetic number, because the mean of its divisors is an integer number (36000000000001).

Almost surely, 2^{72000000000001} is an apocalyptic number.

It is an amenable number.

72000000000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

72000000000001 is an equidigital number, since it uses as much as digits as its factorization.

72000000000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 10.

Adding to 72000000000001 its reverse (10000000000027), we get a palindrome (82000000000028).

The spelling of 72000000000001 in words is "seventy-two trillion, one", and thus it is an aban number and an uban number.