26782272 has 112 divisors (see below), whose sum is σ = 85953600. Its totient is φ = 8110080.

The previous prime is 26782253. The next prime is 26782277. The reversal of 26782272 is 27228762.

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 (26782277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18304 + ... + 19712.

Almost surely, 2^26782272 is an apocalyptic number.

26782272 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 26782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42976800).

26782272 is an abundant number, since it is smaller than the sum of its proper divisors (59171328).

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

26782272 is a wasteful number, since it uses less digits than its factorization.

26782272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1425 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 26782272 is about 5175.1591279882. The cubic root of 26782272 is about 299.1914226334.

It can be divided in two parts, 2678 and 2272, that added together give a triangular number (4950 = T₉₉).

The spelling of 26782272 in words is "twenty-six million, seven hundred eighty-two thousand, two hundred seventy-two".