727667712 has 220 divisors, whose sum is σ = 2250979456. Its totient is φ = 233902080.

The previous prime is 727667701. The next prime is 727667737. The reversal of 727667712 is 217766727.

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 19 ways as a sum of consecutive naturals, for example, 2571123 + ... + 2571405.

Almost surely, 2^727667712 is an apocalyptic number.

727667712 is a gapful number since it is divisible by the number (72) 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 727667712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125489728).

727667712 is an abundant number, since it is smaller than the sum of its proper divisors (1523311744).

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

727667712 is a wasteful number, since it uses less digits than its factorization.

727667712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 319 counting only the distinct ones).

The product of its digits is 345744, while the sum is 45.

The square root of 727667712 is about 26975.3167173251. The cubic root of 727667712 is about 899.4513989979.

The spelling of 727667712 in words is "seven hundred twenty-seven million, six hundred sixty-seven thousand, seven hundred twelve".