26142272 has 42 divisors (see below), whose sum is σ = 56196738. Its totient is φ = 12060672.

The previous prime is 26142257. The next prime is 26142287. The reversal of 26142272 is 27224162.

It is an interprime number because it is at equal distance from previous prime (26142257) and next prime (26142287).

It can be written as a sum of positive squares in 3 ways, for example, as 2483776 + 23658496 = 1576^2 + 4864^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 13.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 9608 + ... + 12024.

Almost surely, 2^26142272 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 26142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28098369).

26142272 is an abundant number, since it is smaller than the sum of its proper divisors (30054466).

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

26142272 is a wasteful number, since it uses less digits than its factorization.

26142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2432 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 26142272 is about 5112.9513981653. The cubic root of 26142272 is about 296.7889834937.

The spelling of 26142272 in words is "twenty-six million, one hundred forty-two thousand, two hundred seventy-two".