26972 has 12 divisors (see below), whose sum is σ = 51576. Its totient is φ = 12240.

The previous prime is 26959. The next prime is 26981. The reversal of 26972 is 27962.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (4298).

2²⁶⁹⁷² is an apocalyptic number.

26972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

26972 is a deficient number, since it is larger than the sum of its proper divisors (24604).

26972 is a wasteful number, since it uses less digits than its factorization.

26972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 26972 is about 164.2315438641. The cubic root of 26972 is about 29.9896260427.

Subtracting 26972 from its reverse (27962), we obtain a triangular number (990 = T₄₄).

The spelling of 26972 in words is "twenty-six thousand, nine hundred seventy-two".