2572672 has 32 divisors (see below), whose sum is σ = 5202000. Its totient is φ = 1267200.

The previous prime is 2572667. The next prime is 2572679. The reversal of 2572672 is 2762752.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572679) 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 3 ways as a sum of consecutive naturals, for example, 12829 + ... + 13027.

2^2572672 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 2572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601000).

2572672 is an abundant number, since it is smaller than the sum of its proper divisors (2629328).

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

2572672 is a wasteful number, since it uses less digits than its factorization.

2572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its digits is 11760, while the sum is 31.

The square root of 2572672 is about 1603.9551115913. The cubic root of 2572672 is about 137.0234211472.

The spelling of 2572672 in words is "two million, five hundred seventy-two thousand, six hundred seventy-two".