7731216 has 60 divisors (see below), whose sum is σ = 22066668. Its totient is φ = 2525952.

The previous prime is 7731203. The next prime is 7731239. The reversal of 7731216 is 6121377.

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 5760000 = 1404^2 + 2400^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7731216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7126 + ... + 8138.

Almost surely, 2^7731216 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 7731216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11033334).

7731216 is an abundant number, since it is smaller than the sum of its proper divisors (14335452).

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

7731216 is a wasteful number, since it uses less digits than its factorization.

7731216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1071 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 7731216 is about 2780.5064286924. The cubic root of 7731216 is about 197.7345693412.

The spelling of 7731216 in words is "seven million, seven hundred thirty-one thousand, two hundred sixteen".