727522752 has 224 divisors, whose sum is σ = 2322722304. Its totient is φ = 198246400.

The previous prime is 727522717. The next prime is 727522753. The reversal of 727522752 is 257225727.

727522752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 727522752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727522753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825352 + ... + 826232.

It is an arithmetic number, because the mean of its divisors is an integer number (10369296).

Almost surely, 2^727522752 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 727522752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161361152).

727522752 is an abundant number, since it is smaller than the sum of its proper divisors (1595199552).

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

727522752 is a wasteful number, since it uses less digits than its factorization.

727522752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 937 counting only the distinct ones).

The product of its digits is 137200, while the sum is 39.

The square root of 727522752 is about 26972.6296826987. The cubic root of 727522752 is about 899.3916679184.

The spelling of 727522752 in words is "seven hundred twenty-seven million, five hundred twenty-two thousand, seven hundred fifty-two".