729600 has 120 divisors (see below), whose sum is σ = 2537040. Its totient is φ = 184320.

The previous prime is 729587. The next prime is 729601. The reversal of 729600 is 6927.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (729601) by changing a digit.

729600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38391 + ... + 38409.

It is an arithmetic number, because the mean of its divisors is an integer number (21142).

2⁷²⁹⁶⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268520).

729600 is an abundant number, since it is smaller than the sum of its proper divisors (1807440).

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

729600 is a wasteful number, since it uses less digits than its factorization.

729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 729600 is about 854.1662601625. The cubic root of 729600 is about 90.0246845871.

The spelling of 729600 in words is "seven hundred twenty-nine thousand, six hundred".