729610561 has 8 divisors (see below), whose sum is σ = 743803560. Its totient is φ = 715433472.

The previous prime is 729610559. The next prime is 729610571. The reversal of 729610561 is 165016927.

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 701985025 = 5256^2 + 26495^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 729610561 - 2¹ = 729610559 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 729610561.

It is not an unprimeable number, because it can be changed into a prime (729610571) 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 7 ways as a sum of consecutive naturals, for example, 134775 + ... + 140083.

It is an arithmetic number, because the mean of its divisors is an integer number (92975445).

Almost surely, 2^729610561 is an apocalyptic number.

It is an amenable number.

729610561 is a deficient number, since it is larger than the sum of its proper divisors (14192999).

729610561 is a wasteful number, since it uses less digits than its factorization.

729610561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7955.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 729610561 is about 27011.3043187477. The cubic root of 729610561 is about 900.2511895574.

The spelling of 729610561 in words is "seven hundred twenty-nine million, six hundred ten thousand, five hundred sixty-one".