729666927 has 64 divisors (see below), whose sum is σ = 1238630400. Its totient is φ = 420219360.

The previous prime is 729666913. The next prime is 729666961.

It is a happy number.

729666927 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 729666927 - 2⁶ = 729666863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729666827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1523074 + ... + 1523552.

It is an arithmetic number, because the mean of its divisors is an integer number (19353600).

Almost surely, 2^729666927 is an apocalyptic number.

729666927 is a deficient number, since it is larger than the sum of its proper divisors (508963473).

729666927 is a wasteful number, since it uses less digits than its factorization.

729666927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 739 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 729666927 is about 27012.3476765719. The cubic root of 729666927 is about 900.2743719027.

The spelling of 729666927 in words is "seven hundred twenty-nine million, six hundred sixty-six thousand, nine hundred twenty-seven".