2726272 has 48 divisors (see below), whose sum is σ = 5829300. Its totient is φ = 1269504.

The previous prime is 2726263. The next prime is 2726281.

2726272 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2726263) and next prime (2726281).

It is a self number, because there is not a number n which added to its sum of digits gives 2726272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46179 + ... + 46237.

2^2726272 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 2726272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914650).

2726272 is an abundant number, since it is smaller than the sum of its proper divisors (3103028).

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

2726272 is an equidigital number, since it uses as much as digits as its factorization.

2726272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its digits is 4704, while the sum is 28.

The square root of 2726272 is about 1651.1426346624. The cubic root of 2726272 is about 139.6978517737.

The spelling of 2726272 in words is "two million, seven hundred twenty-six thousand, two hundred seventy-two".