729037 has 2 divisors, whose sum is σ = 729038. Its totient is φ = 729036.

The previous prime is 729023. The next prime is 729041. The reversal of 729037 is 730927.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 343396 = 621^2 + 586^2 .

It is a cyclic number.

It is not a de Polignac number, because 729037 - 2¹¹ = 726989 is a prime.

It is equal to p₅₈₇₁₇ and since 729037 and 58717 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 728996 and 729014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (729637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364518 + 364519.

It is an arithmetic number, because the mean of its divisors is an integer number (364519).

2⁷²⁹⁰³⁷ is an apocalyptic number.

It is an amenable number.

729037 is a deficient number, since it is larger than the sum of its proper divisors (1).

729037 is an equidigital number, since it uses as much as digits as its factorization.

729037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 729037 is about 853.8366354286. The cubic root of 729037 is about 90.0015226080.

The spelling of 729037 in words is "seven hundred twenty-nine thousand, thirty-seven".