26872000 has 56 divisors (see below), whose sum is σ = 66568320. Its totient is φ = 10745600.

The previous prime is 26871991. The next prime is 26872031. The reversal of 26872000 is 27862.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6321 + ... + 9679.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^26872000 is an apocalyptic number.

26872000 is a gapful number since it is divisible by the number (20) 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 26872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33284160).

26872000 is an abundant number, since it is smaller than the sum of its proper divisors (39696320).

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

26872000 is an equidigital number, since it uses as much as digits as its factorization.

26872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 26872000 is about 5183.8209845634. The cubic root of 26872000 is about 299.5251747925.

Adding to 26872000 its reverse (27862), we get a palindrome (26899862).

The spelling of 26872000 in words is "twenty-six million, eight hundred seventy-two thousand".