726472001 has 2 divisors, whose sum is σ = 726472002. Its totient is φ = 726472000.

The previous prime is 726471979. The next prime is 726472003. The reversal of 726472001 is 100274627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 726356401 + 115600 = 26951^2 + 340^2 .

It is a cyclic number.

It is not a de Polignac number, because 726472001 - 2¹⁴ = 726455617 is a prime.

Together with 726472003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (726472003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363236000 + 363236001.

It is an arithmetic number, because the mean of its divisors is an integer number (363236001).

Almost surely, 2^726472001 is an apocalyptic number.

It is an amenable number.

726472001 is a deficient number, since it is larger than the sum of its proper divisors (1).

726472001 is an equidigital number, since it uses as much as digits as its factorization.

726472001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 726472001 is about 26953.1445475291. The cubic root of 726472001 is about 898.9584663335.

The spelling of 726472001 in words is "seven hundred twenty-six million, four hundred seventy-two thousand, one".