26256672 has 72 divisors (see below), whose sum is σ = 80422524. Its totient is φ = 8077824.

The previous prime is 26256661. The next prime is 26256673. The reversal of 26256672 is 27665262.

26256672 is a `hidden beast` number, since 26 + 2 + 566 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 1296 = 5124^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26256673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238 + ... + 7250.

Almost surely, 2^26256672 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 26256672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40211262).

26256672 is an abundant number, since it is smaller than the sum of its proper divisors (54165852).

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

26256672 is a wasteful number, since it uses less digits than its factorization.

26256672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7042 (or 7031 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 26256672 is about 5124.1264621397. The cubic root of 26256672 is about 297.2212750907.

The spelling of 26256672 in words is "twenty-six million, two hundred fifty-six thousand, six hundred seventy-two".