72000006000001 has 2 divisors, whose sum is σ = 72000006000002. Its totient is φ = 72000006000000.

The previous prime is 72000005999951. The next prime is 72000006000007. The reversal of 72000006000001 is 10000060000027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47120660073601 + 24879345926400 = 6864449^2 + 4987920^2 .

It is a cyclic number.

It is not a de Polignac number, because 72000006000001 - 2¹⁵ = 72000005967233 is a prime.

It is a pancake number, because a pancake can be divided into 72000006000001 parts by 12000000 straight cuts.

It is not a weakly prime, because it can be changed into another prime (72000006000007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36000003000000 + 36000003000001.

It is an arithmetic number, because the mean of its divisors is an integer number (36000003000001).

Almost surely, 2^{72000006000001} is an apocalyptic number.

It is an amenable number.

72000006000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

72000006000001 is an equidigital number, since it uses as much as digits as its factorization.

72000006000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 72000006000001 its reverse (10000060000027), we get a palindrome (82000066000028).

The spelling of 72000006000001 in words is "seventy-two trillion, six million, one", and thus it is an aban number and an uban number.