26535072 has 48 divisors (see below), whose sum is σ = 71148672. Its totient is φ = 8655360.

The previous prime is 26535071. The next prime is 26535097. The reversal of 26535072 is 27053562.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×26535072² = 1408220092090368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26535071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572 + ... + 7452.

It is an arithmetic number, because the mean of its divisors is an integer number (1482264).

Almost surely, 2^26535072 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 26535072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35574336).

26535072 is an abundant number, since it is smaller than the sum of its proper divisors (44613600).

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

26535072 is a wasteful number, since it uses less digits than its factorization.

26535072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 26535072 is about 5151.2204379157. The cubic root of 26535072 is about 298.2680650230.

The spelling of 26535072 in words is "twenty-six million, five hundred thirty-five thousand, seventy-two".