729205961 has 16 divisors (see below), whose sum is σ = 838332288. Its totient is φ = 627792000.

The previous prime is 729205949. The next prime is 729205993. The reversal of 729205961 is 169502927.

It is a de Polignac number, because none of the positive numbers 2^k-729205961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729205931) 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 15 ways as a sum of consecutive naturals, for example, 11285 + ... + 39821.

It is an arithmetic number, because the mean of its divisors is an integer number (52395768).

Almost surely, 2^729205961 is an apocalyptic number.

It is an amenable number.

729205961 is a deficient number, since it is larger than the sum of its proper divisors (109126327).

729205961 is a wasteful number, since it uses less digits than its factorization.

729205961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28672.

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 729205961 is about 27003.8138232362. The cubic root of 729205961 is about 900.0847496324.

The spelling of 729205961 in words is "seven hundred twenty-nine million, two hundred five thousand, nine hundred sixty-one".