726873601 has 2 divisors, whose sum is σ = 726873602. Its totient is φ = 726873600.

The previous prime is 726873599. The next prime is 726873643. The reversal of 726873601 is 106378627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 541260225 + 185613376 = 23265^2 + 13624^2 .

It is a cyclic number.

It is not a de Polignac number, because 726873601 - 2¹ = 726873599 is a prime.

Together with 726873599, it forms a pair of twin primes.

It is equal to p_37571089 and since 726873601 and 37571089 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (726873701) 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, 363436800 + 363436801.

It is an arithmetic number, because the mean of its divisors is an integer number (363436801).

Almost surely, 2^726873601 is an apocalyptic number.

It is an amenable number.

726873601 is a deficient number, since it is larger than the sum of its proper divisors (1).

726873601 is an equidigital number, since it uses as much as digits as its factorization.

726873601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 726873601 is about 26960.5934838238. The cubic root of 726873601 is about 899.1240864880.

The spelling of 726873601 in words is "seven hundred twenty-six million, eight hundred seventy-three thousand, six hundred one".