2527872 has 64 divisors (see below), whose sum is σ = 6976800. Its totient is φ = 809984.

The previous prime is 2527823. The next prime is 2527913. The reversal of 2527872 is 2787252.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

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, 11023 + ... + 11249.

2^2527872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488400).

2527872 is an abundant number, since it is smaller than the sum of its proper divisors (4448928).

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

2527872 is a wasteful number, since it uses less digits than its factorization.

2527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 2527872 is about 1589.9283002702. The cubic root of 2527872 is about 136.2233929472.

The spelling of 2527872 in words is "two million, five hundred twenty-seven thousand, eight hundred seventy-two".