2820072 has 16 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 940016.

The previous prime is 2820071. The next prime is 2820089. The reversal of 2820072 is 2700282.

2820072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2820071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58728 + ... + 58775.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

2^2820072 is an apocalyptic number.

It is an amenable number.

2820072 is an abundant number, since it is smaller than the sum of its proper divisors (4230168).

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

2820072 is a wasteful number, since it uses less digits than its factorization.

2820072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117512 (or 117508 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2820072 is about 1679.3069999259. The cubic root of 2820072 is about 141.2819668167.

It can be divided in two parts, 28 and 20072, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 2820072 in words is "two million, eight hundred twenty thousand, seventy-two".