2712320 has 72 divisors (see below), whose sum is σ = 7039536. Its totient is φ = 995328.

The previous prime is 2712317. The next prime is 2712329. The reversal of 2712320 is 232172.

It is not an unprimeable number, because it can be changed into a prime (2712329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16559 + ... + 16721.

2^2712320 is an apocalyptic number.

2712320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519768).

2712320 is an abundant number, since it is smaller than the sum of its proper divisors (4327216).

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

2712320 is a wasteful number, since it uses less digits than its factorization.

2712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 2712320 is about 1646.9122623868. The cubic root of 2712320 is about 139.4591376659.

Adding to 2712320 its reverse (232172), we get a palindrome (2944492).

The spelling of 2712320 in words is "two million, seven hundred twelve thousand, three hundred twenty".