727852320 has 288 divisors, whose sum is σ = 2724321600. Its totient is φ = 175859712.

The previous prime is 727852313. The next prime is 727852327. The reversal of 727852320 is 23258727.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (727852313) and next prime (727852327).

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 not an unprimeable number, because it can be changed into a prime (727852327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104151 + ... + 1104809.

It is an arithmetic number, because the mean of its divisors is an integer number (9459450).

Almost surely, 2^727852320 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 727852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362160800).

727852320 is an abundant number, since it is smaller than the sum of its proper divisors (1996469280).

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

727852320 is a wasteful number, since it uses less digits than its factorization.

727852320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 727852320 is about 26978.7382951835. The cubic root of 727852320 is about 899.5274556380.

The spelling of 727852320 in words is "seven hundred twenty-seven million, eight hundred fifty-two thousand, three hundred twenty".