729527 has 2 divisors, whose sum is σ = 729528. Its totient is φ = 729526.

The previous prime is 729511. The next prime is 729551. The reversal of 729527 is 725927.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 729527 - 2⁴ = 729511 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 729493 and 729502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (729557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364763 + 364764.

It is an arithmetic number, because the mean of its divisors is an integer number (364764).

2⁷²⁹⁵²⁷ is an apocalyptic number.

729527 is a deficient number, since it is larger than the sum of its proper divisors (1).

729527 is an equidigital number, since it uses as much as digits as its factorization.

729527 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 32.

The square root of 729527 is about 854.1235273659. The cubic root of 729527 is about 90.0216820189.

Subtracting from 729527 its reverse (725927), we obtain a square (3600 = 60²).

The spelling of 729527 in words is "seven hundred twenty-nine thousand, five hundred twenty-seven".