26755872 has 96 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 7480320.

The previous prime is 26755843. The next prime is 26755879. The reversal of 26755872 is 27855762.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26755879) 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, 12754 + ... + 14702.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^26755872 is an apocalyptic number.

26755872 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 26755872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

26755872 is an abundant number, since it is smaller than the sum of its proper divisors (55799328).

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

26755872 is a wasteful number, since it uses less digits than its factorization.

26755872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1978 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 26755872 is about 5172.6078529113. The cubic root of 26755872 is about 299.0930833254.

The spelling of 26755872 in words is "twenty-six million, seven hundred fifty-five thousand, eight hundred seventy-two".