26679072 has 144 divisors (see below), whose sum is σ = 85095360. Its totient is φ = 7160832.

The previous prime is 26679053. The next prime is 26679073. The reversal of 26679072 is 27097662.

It is a self number, because there is not a number n which added to its sum of digits gives 26679072.

It is not an unprimeable number, because it can be changed into a prime (26679073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721038 + ... + 721074.

It is an arithmetic number, because the mean of its divisors is an integer number (590940).

Almost surely, 2^26679072 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 26679072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42547680).

26679072 is an abundant number, since it is smaller than the sum of its proper divisors (58416288).

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

26679072 is a wasteful number, since it uses less digits than its factorization.

26679072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 26679072 is about 5165.1787965181. The cubic root of 26679072 is about 298.8066370215.

The spelling of 26679072 in words is "twenty-six million, six hundred seventy-nine thousand, seventy-two".