727532048 has 40 divisors (see below), whose sum is σ = 1464113880. Its totient is φ = 349798400.

The previous prime is 727532041. The next prime is 727532053. The reversal of 727532048 is 840235727.

It can be written as a sum of positive squares in 4 ways, for example, as 375894544 + 351637504 = 19388^2 + 18752^2 .

It is not an unprimeable number, because it can be changed into a prime (727532041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116198 + ... + 122298.

It is an arithmetic number, because the mean of its divisors is an integer number (36602847).

Almost surely, 2^727532048 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 727532048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732056940).

727532048 is an abundant number, since it is smaller than the sum of its proper divisors (736581832).

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

727532048 is a wasteful number, since it uses less digits than its factorization.

727532048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 727532048 is about 26972.8020049827. The cubic root of 727532048 is about 899.3954985933.

The spelling of 727532048 in words is "seven hundred twenty-seven million, five hundred thirty-two thousand, forty-eight".