727438560 has 288 divisors, whose sum is σ = 2522378880. Its totient is φ = 175703040.

The previous prime is 727438501. The next prime is 727438567. The reversal of 727438560 is 65834727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727438567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8764279 + ... + 8764361.

It is an arithmetic number, because the mean of its divisors is an integer number (8758260).

Almost surely, 2^727438560 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 727438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261189440).

727438560 is an abundant number, since it is smaller than the sum of its proper divisors (1794940320).

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

727438560 is a wasteful number, since it uses less digits than its factorization.

727438560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 727438560 is about 26971.0689443337. The cubic root of 727438560 is about 899.3569727815.

The spelling of 727438560 in words is "seven hundred twenty-seven million, four hundred thirty-eight thousand, five hundred sixty".