26072256 has 112 divisors (see below), whose sum is σ = 83068160. Its totient is φ = 7050240.

The previous prime is 26072243. The next prime is 26072257. The reversal of 26072256 is 65227062.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×26072256³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (26072257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25026 + ... + 26046.

It is an arithmetic number, because the mean of its divisors is an integer number (741680).

Almost surely, 2^26072256 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 26072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41534080).

26072256 is an abundant number, since it is smaller than the sum of its proper divisors (56995904).

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

26072256 is a wasteful number, since it uses less digits than its factorization.

26072256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 26072256 is about 5106.0998815143. The cubic root of 26072256 is about 296.5237864905.

The spelling of 26072256 in words is "twenty-six million, seventy-two thousand, two hundred fifty-six".