26772 has 24 divisors (see below), whose sum is σ = 65856. Its totient is φ = 8448.

The previous prime is 26759. The next prime is 26777. The reversal of 26772 is 27762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26777) by changing a digit.

26772 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, 228 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (2744).

2²⁶⁷⁷² 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 26772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32928).

26772 is an abundant number, since it is smaller than the sum of its proper divisors (39084).

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

26772 is a wasteful number, since it uses less digits than its factorization.

26772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 26772 is about 163.6215144778. The cubic root of 26772 is about 29.9153167387.

Adding to 26772 its sum of digits (24), we get a triangular number (26796 = T₂₃₁).

Subtracting 26772 from its reverse (27762), we obtain a triangular number (990 = T₄₄).

The spelling of 26772 in words is "twenty-six thousand, seven hundred seventy-two".