727668032 has 126 divisors (see below), whose sum is σ = 1820188638. Its totient is φ = 287659008.

The previous prime is 727668031. The next prime is 727668037. The reversal of 727668032 is 230866727.

727668032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 81288256 + 646379776 = 9016^2 + 25424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727668031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 529298 + ... + 530670.

Almost surely, 2^727668032 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 727668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910094319).

727668032 is an abundant number, since it is smaller than the sum of its proper divisors (1092520606).

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

727668032 is a wasteful number, since it uses less digits than its factorization.

727668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 727668032 is about 26975.3226486728. The cubic root of 727668032 is about 899.4515308458.

The spelling of 727668032 in words is "seven hundred twenty-seven million, six hundred sixty-eight thousand, thirty-two".