26527872 has 128 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 7418880.

The previous prime is 26527867. The next prime is 26527873. The reversal of 26527872 is 27872562.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 26527872.

It is not an unprimeable number, because it can be changed into a prime (26527873) 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, 190779 + ... + 190917.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^26527872 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 26527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

26527872 is an abundant number, since it is smaller than the sum of its proper divisors (55724928).

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

26527872 is a wasteful number, since it uses less digits than its factorization.

26527872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 26527872 is about 5150.5215269912. The cubic root of 26527872 is about 298.2410853295.

The spelling of 26527872 in words is "twenty-six million, five hundred twenty-seven thousand, eight hundred seventy-two".