2588072 has 8 divisors (see below), whose sum is σ = 4852650. Its totient is φ = 1294032.

The previous prime is 2588071. The next prime is 2588077. The reversal of 2588072 is 2708852.

2588072 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2579236 + 8836 = 1606^2 + 94^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (2588071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161747 + ... + 161762.

2^2588072 is an apocalyptic number.

It is an amenable number.

2588072 is a deficient number, since it is larger than the sum of its proper divisors (2264578).

2588072 is a wasteful number, since it uses less digits than its factorization.

2588072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323515 (or 323511 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 2588072 is about 1608.7485819730. The cubic root of 2588072 is about 137.2962845569.

It can be divided in two parts, 25880 and 72, that added together give a palindrome (25952).

The spelling of 2588072 in words is "two million, five hundred eighty-eight thousand, seventy-two".