26368272 has 180 divisors, whose sum is σ = 89035596. Its totient is φ = 7257600.

The previous prime is 26368271. The next prime is 26368273. The reversal of 26368272 is 27286362.

26368272 is a `hidden beast` number, since 26 + 368 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (26368271) and next prime (26368273).

It can be written as a sum of positive squares in 2 ways, for example, as 24561936 + 1806336 = 4956^2 + 1344^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26368271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261022 + ... + 261122.

Almost surely, 2^26368272 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 26368272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44517798).

26368272 is an abundant number, since it is smaller than the sum of its proper divisors (62667324).

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

26368272 is a wasteful number, since it uses less digits than its factorization.

26368272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 26368272 is about 5135.0045764342. The cubic root of 26368272 is about 297.6417778671.

The spelling of 26368272 in words is "twenty-six million, three hundred sixty-eight thousand, two hundred seventy-two".