727721856 has 96 divisors (see below), whose sum is σ = 2217337200. Its totient is φ = 228298752.

The previous prime is 727721843. The next prime is 727721857. The reversal of 727721856 is 658127727.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727721857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1005 + ... + 38163.

Almost surely, 2^727721856 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 727721856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108668600).

727721856 is an abundant number, since it is smaller than the sum of its proper divisors (1489615344).

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

727721856 is a wasteful number, since it uses less digits than its factorization.

727721856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37196 (or 37181 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 727721856 is about 26976.3202827962. The cubic root of 727721856 is about 899.4737071146.

The spelling of 727721856 in words is "seven hundred twenty-seven million, seven hundred twenty-one thousand, eight hundred fifty-six".