727463296 has 64 divisors (see below), whose sum is σ = 1667700000. Its totient is φ = 309620736.

The previous prime is 727463291. The next prime is 727463299. The reversal of 727463296 is 692364727.

727463296 is a nontrivial binomial coefficient, being equal to C(38144, 2).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727463291) by changing a digit.

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, 130780 + ... + 136228.

Almost surely, 2^727463296 is an apocalyptic number.

727463296 is the 38143-rd triangular number and also the 19072-nd hexagonal number.

727463296 is the 12715-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727463296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833850000).

727463296 is an abundant number, since it is smaller than the sum of its proper divisors (940236704).

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

727463296 is a wasteful number, since it uses less digits than its factorization.

727463296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5607 counting only the distinct ones).

The product of its digits is 762048, while the sum is 46.

The square root of 727463296 is about 26971.5275058718. The cubic root of 727463296 is about 899.3671666513.

The spelling of 727463296 in words is "seven hundred twenty-seven million, four hundred sixty-three thousand, two hundred ninety-six".