717216 has 48 divisors (see below), whose sum is σ = 1951488. Its totient is φ = 230400.

The previous prime is 717191. The next prime is 717229. The reversal of 717216 is 612717.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 717216.

It is an unprimeable number.

717216 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 7 ways as a sum of consecutive naturals, for example, 2856 + ... + 3096.

It is an arithmetic number, because the mean of its divisors is an integer number (40656).

2⁷¹⁷²¹⁶ 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 717216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975744).

717216 is an abundant number, since it is smaller than the sum of its proper divisors (1234272).

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

717216 is a wasteful number, since it uses less digits than its factorization.

717216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 717216 is about 846.8860608134. The cubic root of 717216 is about 89.5124250615.

The spelling of 717216 in words is "seven hundred seventeen thousand, two hundred sixteen".