727716 has 48 divisors (see below), whose sum is σ = 1915200. Its totient is φ = 213120.

The previous prime is 727711. The next prime is 727717. The reversal of 727716 is 617727.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 727716.

It is not an unprimeable number, because it can be changed into a prime (727711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4810 + ... + 4958.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2⁷²⁷⁷¹⁶ 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 727716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957600).

727716 is an abundant number, since it is smaller than the sum of its proper divisors (1187484).

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

727716 is a wasteful number, since it uses less digits than its factorization.

727716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its digits is 4116, while the sum is 30.

The square root of 727716 is about 853.0627175067. The cubic root of 727716 is about 89.9471294411.

The spelling of 727716 in words is "seven hundred twenty-seven thousand, seven hundred sixteen".