729672 has 16 divisors (see below), whose sum is σ = 1824240. Its totient is φ = 243216.

The previous prime is 729671. The next prime is 729679. The reversal of 729672 is 276927.

729672 is nontrivially palindromic in base 7.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (729671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15178 + ... + 15225.

It is an arithmetic number, because the mean of its divisors is an integer number (114015).

2⁷²⁹⁶⁷² is an apocalyptic number.

It is an amenable number.

729672 is an abundant number, since it is smaller than the sum of its proper divisors (1094568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729672 is a wasteful number, since it uses less digits than its factorization.

729672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30412 (or 30408 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 729672 is about 854.2084054843. The cubic root of 729672 is about 90.0276458280.

The spelling of 729672 in words is "seven hundred twenty-nine thousand, six hundred seventy-two".