26772672 has 112 divisors (see below), whose sum is σ = 76809600. Its totient is φ = 8202240.

The previous prime is 26772659. The next prime is 26772673. The reversal of 26772672 is 27627762.

It is a self number, because there is not a number n which added to its sum of digits gives 26772672.

It is not an unprimeable number, because it can be changed into a prime (26772673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149479 + ... + 149657.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 2^26772672 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 26772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38404800).

26772672 is an abundant number, since it is smaller than the sum of its proper divisors (50036928).

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

26772672 is a wasteful number, since it uses less digits than its factorization.

26772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its digits is 98784, while the sum is 39.

The square root of 26772672 is about 5174.2315371464. The cubic root of 26772672 is about 299.1556703653.

The spelling of 26772672 in words is "twenty-six million, seven hundred seventy-two thousand, six hundred seventy-two".