26766072 has 64 divisors (see below), whose sum is σ = 76932000. Its totient is φ = 8612352.

The previous prime is 26766029. The next prime is 26766119. The reversal of 26766072 is 27066762.

It is a super-2 number, since 2×26766072² = 1432845220618368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4128 + ... + 8400.

Almost surely, 2^26766072 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 26766072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38466000).

26766072 is an abundant number, since it is smaller than the sum of its proper divisors (50165928).

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

26766072 is a wasteful number, since it uses less digits than its factorization.

26766072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 26766072 is about 5173.5937219693. The cubic root of 26766072 is about 299.1310857230.

The spelling of 26766072 in words is "twenty-six million, seven hundred sixty-six thousand, seventy-two".