729856720 has 40 divisors (see below), whose sum is σ = 1701844200. Its totient is φ = 291095040.

The previous prime is 729856669. The next prime is 729856781. The reversal of 729856720 is 27658927.

It can be written as a sum of positive squares in 4 ways, for example, as 197908624 + 531948096 = 14068^2 + 23064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14850 + ... + 40990.

It is an arithmetic number, because the mean of its divisors is an integer number (42546105).

Almost surely, 2^729856720 is an apocalyptic number.

It is an amenable number.

729856720 is an abundant number, since it is smaller than the sum of its proper divisors (971987480).

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

729856720 is a wasteful number, since it uses less digits than its factorization.

729856720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26503 (or 26497 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 729856720 is about 27015.8605267350. The cubic root of 729856720 is about 900.3524216516.

The spelling of 729856720 in words is "seven hundred twenty-nine million, eight hundred fifty-six thousand, seven hundred twenty".