729052275200 has 90 divisors (see below), whose sum is σ = 1806523338741. Its totient is φ = 291582269440.

The previous prime is 729052275191. The next prime is 729052275247. The reversal of 729052275200 is 2572250927.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 714471229696 + 14581045504 = 845264^2 + 120752^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=603760.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96597827 + ... + 96605373.

Almost surely, 2^729052275200 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 729052275200

729052275200 is an abundant number, since it is smaller than the sum of its proper divisors (1077471063541).

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

729052275200 is an frugal number, since it uses more digits than its factorization.

729052275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15122 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The spelling of 729052275200 in words is "seven hundred twenty-nine billion, fifty-two million, two hundred seventy-five thousand, two hundred".