2722272 has 48 divisors (see below), whose sum is σ = 8168832. Its totient is φ = 777600.

The previous prime is 2722249. The next prime is 2722273.

2722272 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722273) 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, 1354 + ... + 2697.

It is an arithmetic number, because the mean of its divisors is an integer number (170184).

2^2722272 is an apocalyptic number.

It is an amenable number.

2722272 is an abundant number, since it is smaller than the sum of its proper divisors (5446560).

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

2722272 is a wasteful number, since it uses less digits than its factorization.

2722272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4063 counting only the distinct ones).

The product of its digits is 1568, while the sum is 24.

The square root of 2722272 is about 1649.9309076443. The cubic root of 2722272 is about 139.6294965353.

The spelling of 2722272 in words is "two million, seven hundred twenty-two thousand, two hundred seventy-two".