727552768 has 72 divisors (see below), whose sum is σ = 1489119408. Its totient is φ = 354680832.

The previous prime is 727552759. The next prime is 727552801. The reversal of 727552768 is 867255727.

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, 2060880 + ... + 2061232.

It is an arithmetic number, because the mean of its divisors is an integer number (20682214).

Almost surely, 2^727552768 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 727552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744559704).

727552768 is an abundant number, since it is smaller than the sum of its proper divisors (761566640).

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

727552768 is an equidigital number, since it uses as much as digits as its factorization.

727552768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its digits is 1646400, while the sum is 49.

The square root of 727552768 is about 26973.1860928590. The cubic root of 727552768 is about 899.4040367270.

The spelling of 727552768 in words is "seven hundred twenty-seven million, five hundred fifty-two thousand, seven hundred sixty-eight".