727382016 has 288 divisors, whose sum is σ = 2316787200. Its totient is φ = 218972160.

The previous prime is 727382003. The next prime is 727382057. The reversal of 727382016 is 610283727.

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

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

It is a congruent number.

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, 10856415 + ... + 10856481.

It is an arithmetic number, because the mean of its divisors is an integer number (8044400).

Almost surely, 2^727382016 is an apocalyptic number.

727382016 is a gapful number since it is divisible by the number (76) 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 727382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158393600).

727382016 is an abundant number, since it is smaller than the sum of its proper divisors (1589405184).

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

727382016 is a wasteful number, since it uses less digits than its factorization.

727382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

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

The square root of 727382016 is about 26970.0206896472. The cubic root of 727382016 is about 899.3336697558. Note that the first 3 decimals are identical.

The spelling of 727382016 in words is "seven hundred twenty-seven million, three hundred eighty-two thousand, sixteen".