727398432 has 144 divisors (see below), whose sum is σ = 2189547360. Its totient is φ = 228427776.

The previous prime is 727398407. The next prime is 727398443. The reversal of 727398432 is 234893727.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1679688 + ... + 1680120.

It is an arithmetic number, because the mean of its divisors is an integer number (15205190).

Almost surely, 2^727398432 is an apocalyptic number.

727398432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727398432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094773680).

727398432 is an abundant number, since it is smaller than the sum of its proper divisors (1462148928).

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

727398432 is a wasteful number, since it uses less digits than its factorization.

727398432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 764 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 727398432 is about 26970.3250258502. The cubic root of 727398432 is about 899.3404352748.

The spelling of 727398432 in words is "seven hundred twenty-seven million, three hundred ninety-eight thousand, four hundred thirty-two".