720729 has 12 divisors (see below), whose sum is σ = 1056276. Its totient is φ = 473472.

The previous prime is 720703. The next prime is 720743. The reversal of 720729 is 927027.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 416025 = 552^2 + 645^2 .

It is not a de Polignac number, because 720729 - 2⁵ = 720697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (720779) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109 + ... + 1205.

It is an arithmetic number, because the mean of its divisors is an integer number (88023).

2⁷²⁰⁷²⁹ is an apocalyptic number.

It is an amenable number.

720729 is a deficient number, since it is larger than the sum of its proper divisors (335547).

720729 is a wasteful number, since it uses less digits than its factorization.

720729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 720729 is about 848.9575961142. The cubic root of 720729 is about 89.6583342097.

It can be divided in two parts, 7 and 20729, that added together give a 4-th power (20736 = 12⁴).

The spelling of 720729 in words is "seven hundred twenty thousand, seven hundred twenty-nine".