5767216 has 80 divisors (see below), whose sum is σ = 14624064. Its totient is φ = 2138112.

The previous prime is 5767213. The next prime is 5767217. The reversal of 5767216 is 6127675.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5767213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24636 + ... + 24868.

Almost surely, 2^5767216 is an apocalyptic number.

5767216 is a gapful number since it is divisible by the number (56) 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 5767216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

5767216 is an abundant number, since it is smaller than the sum of its proper divisors (8856848).

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

5767216 is a wasteful number, since it uses less digits than its factorization.

5767216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 17640, while the sum is 34.

The square root of 5767216 is about 2401.5028627924. The cubic root of 5767216 is about 179.3310146818.

The spelling of 5767216 in words is "five million, seven hundred sixty-seven thousand, two hundred sixteen".