5772 has 24 divisors (see below), whose sum is σ = 14896. Its totient is φ = 1728.

The previous prime is 5749. The next prime is 5779. The reversal of 5772 is 2775.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5779) 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, 138 + ... + 174.

2⁵⁷⁷² is an apocalyptic number.

5772 is a gapful number since it is divisible by the number (52) 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 5772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448).

5772 is an abundant number, since it is smaller than the sum of its proper divisors (9124).

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

5772 is a wasteful number, since it uses less digits than its factorization.

5772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 55 counting only the distinct ones).

The product of its digits is 490, while the sum is 21.

The square root of 5772 is about 75.9736796529. The cubic root of 5772 is about 17.9380586981.

It can be divided in two parts, 5 and 772, that added together give a palindrome (777).

The spelling of 5772 in words is "five thousand, seven hundred seventy-two".