8772 has 24 divisors (see below), whose sum is σ = 22176. Its totient is φ = 2688.

The previous prime is 8761. The next prime is 8779. The reversal of 8772 is 2778.

8772 = 1⁴ + 2⁴ + ... + 8⁴.

8772 is nontrivially palindromic in base 5.

It is a plaindrome in base 16.

It is a nialpdrome in base 10 and base 11.

It is a zygodrome in base 11 and base 16.

It is not an unprimeable number, because it can be changed into a prime (8779) by changing a digit.

8772 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, 183 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (924).

2⁸⁷⁷² 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 8772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088).

8772 is an abundant number, since it is smaller than the sum of its proper divisors (13404).

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

8772 is a wasteful number, since it uses less digits than its factorization.

8772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 65 counting only the distinct ones).

The product of its digits is 784, while the sum is 24.

The square root of 8772 is about 93.6589557917. The cubic root of 8772 is about 20.6236821931.

It can be divided in two parts, 8 and 772, that added together give a triangular number (780 = T₃₉).

The spelling of 8772 in words is "eight thousand, seven hundred seventy-two".