727227648032 has 54 divisors (see below), whose sum is σ = 1440126412893. Its totient is φ = 361493661952.

The previous prime is 727227648023. The next prime is 727227648047. The reversal of 727227648032 is 230846722727.

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 656171281936 + 71056366096 = 810044^2 + 266564^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=603004.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1123999133 + ... + 1123999779.

Almost surely, 2^727227648032 is an apocalyptic number.

It is an amenable number.

727227648032 is a deficient number, since it is larger than the sum of its proper divisors (712898764861).

727227648032 is an frugal number, since it uses more digits than its factorization.

727227648032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 50.

Multiplying 727227648032 by its sum of digits (50), we get a square (36361382401600 = 6030040²).

The spelling of 727227648032 in words is "seven hundred twenty-seven billion, two hundred twenty-seven million, six hundred forty-eight thousand, thirty-two".