723216 has 80 divisors (see below), whose sum is σ = 2152640. Its totient is φ = 207360.

The previous prime is 723209. The next prime is 723221. The reversal of 723216 is 612327.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 723192 and 723201.

It is a congruent number.

It is an unprimeable number.

723216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11826 + ... + 11886.

It is an arithmetic number, because the mean of its divisors is an integer number (26908).

2⁷²³²¹⁶ is an apocalyptic number.

723216 is a gapful number since it is divisible by the number (76) 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 723216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076320).

723216 is an abundant number, since it is smaller than the sum of its proper divisors (1429424).

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

723216 is a wasteful number, since it uses less digits than its factorization.

723216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 723216 is about 850.4210721754. The cubic root of 723216 is about 89.7613430107.

Subtracting from 723216 its reverse (612327), we obtain a square (110889 = 333²).

It can be divided in two parts, 72321 and 6, that added together give a palindrome (72327).

The spelling of 723216 in words is "seven hundred twenty-three thousand, two hundred sixteen".