727516272 has 160 divisors (see below), whose sum is σ = 2239142400. Its totient is φ = 199148544.

The previous prime is 727516267. The next prime is 727516297. The reversal of 727516272 is 272615727.

It is a self number, because there is not a number n which added to its sum of digits gives 727516272.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1919379 + ... + 1919757.

It is an arithmetic number, because the mean of its divisors is an integer number (13994640).

Almost surely, 2^727516272 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 727516272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119571200).

727516272 is an abundant number, since it is smaller than the sum of its proper divisors (1511626128).

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

727516272 is a wasteful number, since it uses less digits than its factorization.

727516272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its digits is 82320, while the sum is 39.

The square root of 727516272 is about 26972.5095606619. The cubic root of 727516272 is about 899.3889976352.

The spelling of 727516272 in words is "seven hundred twenty-seven million, five hundred sixteen thousand, two hundred seventy-two".