729457561 has 12 divisors (see below), whose sum is σ = 877814820. Its totient is φ = 603687840.

The previous prime is 729457543. The next prime is 729457567. The reversal of 729457561 is 165754927.

It can be written as a sum of positive squares in 2 ways, for example, as 594433161 + 135024400 = 24381^2 + 11620^2 .

It is not a de Polignac number, because 729457561 - 2⁹ = 729457049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729457567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255250 + ... + 258091.

It is an arithmetic number, because the mean of its divisors is an integer number (73151235).

Almost surely, 2^729457561 is an apocalyptic number.

It is an amenable number.

729457561 is a deficient number, since it is larger than the sum of its proper divisors (148357259).

729457561 is a wasteful number, since it uses less digits than its factorization.

729457561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513384 (or 513377 counting only the distinct ones).

The product of its digits is 529200, while the sum is 46.

The square root of 729457561 is about 27008.4720226821. The cubic root of 729457561 is about 900.1882573264.

The spelling of 729457561 in words is "seven hundred twenty-nine million, four hundred fifty-seven thousand, five hundred sixty-one".