2720272 has 40 divisors (see below), whose sum is σ = 5698296. Its totient is φ = 1253376.

The previous prime is 2720269. The next prime is 2720273.

2720272 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 913936 + 1806336 = 956^2 + 1344^2 .

It is not an unprimeable number, because it can be changed into a prime (2720273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19788 + ... + 19924.

2^2720272 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 2720272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849148).

2720272 is an abundant number, since it is smaller than the sum of its proper divisors (2978024).

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

2720272 is a wasteful number, since it uses less digits than its factorization.

2720272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 2720272 is about 1649.3247102981. The cubic root of 2720272 is about 139.5952938045.

It can be divided in two parts, 2720 and 272, that added together give a palindrome (2992).

The spelling of 2720272 in words is "two million, seven hundred twenty thousand, two hundred seventy-two".