727648320 has 448 divisors, whose sum is σ = 2867558400. Its totient is φ = 152616960.

The previous prime is 727648303. The next prime is 727648333. The reversal of 727648320 is 23846727.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5234811 + ... + 5234949.

It is an arithmetic number, because the mean of its divisors is an integer number (6400800).

Almost surely, 2^727648320 is an apocalyptic number.

727648320 is a gapful number since it is divisible by the number (70) 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 727648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433779200).

727648320 is an abundant number, since it is smaller than the sum of its proper divisors (2139910080).

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

727648320 is a wasteful number, since it uses less digits than its factorization.

727648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 727648320 is about 26974.9572752210. The cubic root of 727648320 is about 899.4434089423.

The spelling of 727648320 in words is "seven hundred twenty-seven million, six hundred forty-eight thousand, three hundred twenty".