727360768 has 36 divisors (see below), whose sum is σ = 1460871328. Its totient is φ = 361428480.

The previous prime is 727360757. The next prime is 727360769. The reversal of 727360768 is 867063727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727360769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33013 + ... + 50443.

Almost surely, 2^727360768 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 727360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730435664).

727360768 is an abundant number, since it is smaller than the sum of its proper divisors (733510560).

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

727360768 is a wasteful number, since it uses less digits than its factorization.

727360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17610 (or 17596 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The square root of 727360768 is about 26969.6267679032. The cubic root of 727360768 is about 899.3249126757.

The spelling of 727360768 in words is "seven hundred twenty-seven million, three hundred sixty thousand, seven hundred sixty-eight".