26752 has 32 divisors (see below), whose sum is σ = 61200. Its totient is φ = 11520.

The previous prime is 26737. The next prime is 26759. The reversal of 26752 is 25762.

26752 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (26759) by changing a digit.

26752 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 3 ways as a sum of consecutive naturals, for example, 1399 + ... + 1417.

2²⁶⁷⁵² is an apocalyptic number.

26752 is a gapful number since it is divisible by the number (22) 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 26752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30600).

26752 is an abundant number, since it is smaller than the sum of its proper divisors (34448).

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

26752 is a wasteful number, since it uses less digits than its factorization.

26752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 32 counting only the distinct ones).

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

The square root of 26752 is about 163.5603864021. The cubic root of 26752 is about 29.9078654788.

Subtracting from 26752 its reverse (25762), we obtain a triangular number (990 = T₄₄).

The spelling of 26752 in words is "twenty-six thousand, seven hundred fifty-two".