729437537 has 2 divisors, whose sum is σ = 729437538. Its totient is φ = 729437536.

The previous prime is 729437497. The next prime is 729437539. The reversal of 729437537 is 735734927.

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., 691479616 + 37957921 = 26296^2 + 6161^2 .

It is a cyclic number.

It is not a de Polignac number, because 729437537 - 2¹⁸ = 729175393 is a prime.

Together with 729437539, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 729437491 and 729437500.

It is not a weakly prime, because it can be changed into another prime (729437539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364718768 + 364718769.

It is an arithmetic number, because the mean of its divisors is an integer number (364718769).

Almost surely, 2^729437537 is an apocalyptic number.

It is an amenable number.

729437537 is a deficient number, since it is larger than the sum of its proper divisors (1).

729437537 is an equidigital number, since it uses as much as digits as its factorization.

729437537 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1111320, while the sum is 47.

The square root of 729437537 is about 27008.1013216405. The cubic root of 729437537 is about 900.1800203681.

The spelling of 729437537 in words is "seven hundred twenty-nine million, four hundred thirty-seven thousand, five hundred thirty-seven".