727792001 has 2 divisors, whose sum is σ = 727792002. Its totient is φ = 727792000.

The previous prime is 727791997. The next prime is 727792027. The reversal of 727792001 is 100297727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 727650625 + 141376 = 26975^2 + 376^2 .

It is a cyclic number.

It is not a de Polignac number, because 727792001 - 2² = 727791997 is a prime.

It is not a weakly prime, because it can be changed into another prime (727792061) 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, 363896000 + 363896001.

It is an arithmetic number, because the mean of its divisors is an integer number (363896001).

Almost surely, 2^727792001 is an apocalyptic number.

It is an amenable number.

727792001 is a deficient number, since it is larger than the sum of its proper divisors (1).

727792001 is an equidigital number, since it uses as much as digits as its factorization.

727792001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12348, while the sum is 35.

The square root of 727792001 is about 26977.6203731908. The cubic root of 727792001 is about 899.5026062311.

The spelling of 727792001 in words is "seven hundred twenty-seven million, seven hundred ninety-two thousand, one".