727504960 has 336 divisors, whose sum is σ = 2247448896. Its totient is φ = 222179328.

The previous prime is 727504949. The next prime is 727504969. The reversal of 727504960 is 69405727.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (727504969) 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, 8765079 + ... + 8765161.

It is an arithmetic number, because the mean of its divisors is an integer number (6688836).

Almost surely, 2^727504960 is an apocalyptic number.

727504960 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 727504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123724448).

727504960 is an abundant number, since it is smaller than the sum of its proper divisors (1519943936).

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

727504960 is a wasteful number, since it uses less digits than its factorization.

727504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 727504960 is about 26972.2998648614. The cubic root of 727504960 is about 899.3843361399.

The spelling of 727504960 in words is "seven hundred twenty-seven million, five hundred four thousand, nine hundred sixty".