727712464 has 50 divisors (see below), whose sum is σ = 1492536850. Its totient is φ = 343718208.

The previous prime is 727712423. The next prime is 727712471. The reversal of 727712464 is 464217727.

It can be written as a sum of positive squares in only one way, i.e., 675584064 + 52128400 = 25992^2 + 7220^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2084962 + ... + 2085310.

It is an arithmetic number, because the mean of its divisors is an integer number (29850737).

Almost surely, 2^727712464 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 727712464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746268425).

727712464 is an abundant number, since it is smaller than the sum of its proper divisors (764824386).

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

727712464 is an frugal number, since it uses more digits than its factorization.

727712464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 370 counting only the distinct ones).

The product of its digits is 131712, while the sum is 40.

The square root of 727712464 is about 26976.1462036370. The cubic root of 727712464 is about 899.4698375531.

The spelling of 727712464 in words is "seven hundred twenty-seven million, seven hundred twelve thousand, four hundred sixty-four".