727216 has 40 divisors (see below), whose sum is σ = 1658624. Its totient is φ = 302400.

The previous prime is 727211. The next prime is 727241. The reversal of 727216 is 612727.

It is a super-2 number, since 2×727216² = 1057686221312, which contains 22 as substring.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (727211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4741 + ... + 4891.

2⁷²⁷²¹⁶ 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 727216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829312).

727216 is an abundant number, since it is smaller than the sum of its proper divisors (931408).

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

727216 is a wasteful number, since it uses less digits than its factorization.

727216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 1176, while the sum is 25.

The square root of 727216 is about 852.7696054621. The cubic root of 727216 is about 89.9265243933.

It can be divided in two parts, 72721 and 6, that added together give a palindrome (72727).

The spelling of 727216 in words is "seven hundred twenty-seven thousand, two hundred sixteen".