729601 has 2 divisors, whose sum is σ = 729602. Its totient is φ = 729600.

The previous prime is 729587. The next prime is 729607. The reversal of 729601 is 106927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 678976 + 50625 = 824^2 + 225^2 .

It is a cyclic number.

It is not a de Polignac number, because 729601 - 2⁵ = 729569 is a prime.

It is not a weakly prime, because it can be changed into another prime (729607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364800 + 364801.

It is an arithmetic number, because the mean of its divisors is an integer number (364801).

2⁷²⁹⁶⁰¹ is an apocalyptic number.

It is an amenable number.

729601 is a deficient number, since it is larger than the sum of its proper divisors (1).

729601 is an equidigital number, since it uses as much as digits as its factorization.

729601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 729601 is about 854.1668455284. The cubic root of 729601 is about 90.0247257168.

The spelling of 729601 in words is "seven hundred twenty-nine thousand, six hundred one".