727328160 has 288 divisors, whose sum is σ = 2773854720. Its totient is φ = 178910208.

The previous prime is 727328059. The next prime is 727328167. The reversal of 727328160 is 61823727.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×727328160³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727328167) 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 47 ways as a sum of consecutive naturals, for example, 504721 + ... + 506159.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2^727328160 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 727328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386927360).

727328160 is an abundant number, since it is smaller than the sum of its proper divisors (2046526560).

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

727328160 is a wasteful number, since it uses less digits than its factorization.

727328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 727328160 is about 26969.0222292170. The cubic root of 727328160 is about 899.3114733911.

The spelling of 727328160 in words is "seven hundred twenty-seven million, three hundred twenty-eight thousand, one hundred sixty".