729667 has 8 divisors (see below), whose sum is σ = 760320. Its totient is φ = 699720.

The previous prime is 729661. The next prime is 729671. The reversal of 729667 is 766927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-729667 is a prime.

It is a Duffinian number.

729667 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (729661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2934 + ... + 3172.

It is an arithmetic number, because the mean of its divisors is an integer number (95040).

2⁷²⁹⁶⁶⁷ is an apocalyptic number.

729667 is a deficient number, since it is larger than the sum of its proper divisors (30653).

729667 is a wasteful number, since it uses less digits than its factorization.

729667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353.

The product of its digits is 31752, while the sum is 37.

The square root of 729667 is about 854.2054787930. The cubic root of 729667 is about 90.0274401926.

The spelling of 729667 in words is "seven hundred twenty-nine thousand, six hundred sixty-seven".