729760 has 24 divisors (see below), whose sum is σ = 1724436. Its totient is φ = 291840.

The previous prime is 729749. The next prime is 729761. The reversal of 729760 is 67927.

729760 = T₆₉₆ + T₆₉₇ + T₆₉₈.

It is a happy number.

729760 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 712336 + 17424 = 844^2 + 132^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (729761) 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, 2121 + ... + 2440.

2⁷²⁹⁷⁶⁰ is an apocalyptic number.

729760 is the 698-th centered triangular number.

It is an amenable number.

729760 is an abundant number, since it is smaller than the sum of its proper divisors (994676).

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

729760 is a wasteful number, since it uses less digits than its factorization.

729760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 729760 is about 854.2599136094. The cubic root of 729760 is about 90.0312648579.

The spelling of 729760 in words is "seven hundred twenty-nine thousand, seven hundred sixty".