26775072 has 72 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 8634240.

The previous prime is 26775061. The next prime is 26775079. The reversal of 26775072 is 27057762.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26775079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7429 + ... + 10427.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 2^26775072 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 26775072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

26775072 is an abundant number, since it is smaller than the sum of its proper divisors (51848928).

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

26775072 is a wasteful number, since it uses less digits than its factorization.

26775072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 26775072 is about 5174.4634504459. The cubic root of 26775072 is about 299.1646092335.

The spelling of 26775072 in words is "twenty-six million, seven hundred seventy-five thousand, seventy-two".