2272720 has 20 divisors (see below), whose sum is σ = 5284260. Its totient is φ = 909056.

The previous prime is 2272691. The next prime is 2272727. The reversal of 2272720 is 272722.

It can be written as a sum of positive squares in 2 ways, for example, as 1140624 + 1132096 = 1068^2 + 1064^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2272691 and 2272700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14125 + ... + 14284.

It is an arithmetic number, because the mean of its divisors is an integer number (264213).

2^2272720 is an apocalyptic number.

2272720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2272720 is an abundant number, since it is smaller than the sum of its proper divisors (3011540).

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

2272720 is a wasteful number, since it uses less digits than its factorization.

2272720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28422 (or 28416 counting only the distinct ones).

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

The square root of 2272720 is about 1507.5543107961. The cubic root of 2272720 is about 131.4766544744.

It can be divided in two parts, 2272 and 720, that added together give a palindrome (2992).

The spelling of 2272720 in words is "two million, two hundred seventy-two thousand, seven hundred twenty".