729737 has 2 divisors, whose sum is σ = 729738. Its totient is φ = 729736.

The previous prime is 729719. The next prime is 729749. The reversal of 729737 is 737927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 674041 + 55696 = 821^2 + 236^2 .

It is an emirp because it is prime and its reverse (737927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 729737 - 2¹⁰ = 728713 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 729697 and 729706.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729737.

It is not a weakly prime, because it can be changed into another prime (729787) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364868 + 364869.

It is an arithmetic number, because the mean of its divisors is an integer number (364869).

2⁷²⁹⁷³⁷ is an apocalyptic number.

It is an amenable number.

729737 is a deficient number, since it is larger than the sum of its proper divisors (1).

729737 is an equidigital number, since it uses as much as digits as its factorization.

729737 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18522, while the sum is 35.

The square root of 729737 is about 854.2464515583. The cubic root of 729737 is about 90.0303190032.

The spelling of 729737 in words is "seven hundred twenty-nine thousand, seven hundred thirty-seven".