729749 has 2 divisors, whose sum is σ = 729750. Its totient is φ = 729748.

The previous prime is 729737. The next prime is 729761. The reversal of 729749 is 947927.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (729737) and next prime (729761).

It can be written as a sum of positive squares in only one way, i.e., 555025 + 174724 = 745^2 + 418^2 .

It is an emirp because it is prime and its reverse (947927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 729749 - 2⁸ = 729493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (729719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364874 + 364875.

It is an arithmetic number, because the mean of its divisors is an integer number (364875).

2⁷²⁹⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

729749 is a deficient number, since it is larger than the sum of its proper divisors (1).

729749 is an equidigital number, since it uses as much as digits as its factorization.

729749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 38.

The square root of 729749 is about 854.2534752636. The cubic root of 729749 is about 90.0308124951.

The spelling of 729749 in words is "seven hundred twenty-nine thousand, seven hundred forty-nine".