728672257 has 2 divisors, whose sum is σ = 728672258. Its totient is φ = 728672256.

The previous prime is 728672239. The next prime is 728672291. The reversal of 728672257 is 752276827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 637259536 + 91412721 = 25244^2 + 9561^2 .

It is a cyclic number.

It is not a de Polignac number, because 728672257 - 2⁷ = 728672129 is a prime.

It is not a weakly prime, because it can be changed into another prime (728676257) 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, 364336128 + 364336129.

It is an arithmetic number, because the mean of its divisors is an integer number (364336129).

Almost surely, 2^728672257 is an apocalyptic number.

It is an amenable number.

728672257 is a deficient number, since it is larger than the sum of its proper divisors (1).

728672257 is an equidigital number, since it uses as much as digits as its factorization.

728672257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 658560, while the sum is 46.

The square root of 728672257 is about 26993.9300028729. The cubic root of 728672257 is about 899.8651061203.

The spelling of 728672257 in words is "seven hundred twenty-eight million, six hundred seventy-two thousand, two hundred fifty-seven".