26572 has 24 divisors (see below), whose sum is σ = 58016. Its totient is φ = 10368.

The previous prime is 26561. The next prime is 26573. The reversal of 26572 is 27562.

26572 is nontrivially palindromic in base 3 and base 9.

26572 is an undulating number in base 9.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a zygodrome in base 2 and base 3.

It is not an unprimeable number, because it can be changed into a prime (26573) 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, 328 + ... + 400.

2²⁶⁵⁷² 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 26572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29008).

26572 is an abundant number, since it is smaller than the sum of its proper divisors (31444).

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

26572 is a wasteful number, since it uses less digits than its factorization.

26572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 26572 is about 163.0092021942. The cubic root of 26572 is about 29.8406364222.

Subtracting 26572 from its reverse (27562), we obtain a triangular number (990 = T₄₄).

The spelling of 26572 in words is "twenty-six thousand, five hundred seventy-two".