2556072 has 48 divisors (see below), whose sum is σ = 7001280. Its totient is φ = 842400.

The previous prime is 2556067. The next prime is 2556079. The reversal of 2556072 is 2706552.

2556072 is a `hidden beast` number, since 2 + 55 + 607 + 2 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2556079) 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 11 ways as a sum of consecutive naturals, for example, 9297 + ... + 9567.

It is an arithmetic number, because the mean of its divisors is an integer number (145860).

2^2556072 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 2556072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500640).

2556072 is an abundant number, since it is smaller than the sum of its proper divisors (4445208).

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

2556072 is a wasteful number, since it uses less digits than its factorization.

2556072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2556072 is about 1598.7720287771. The cubic root of 2556072 is about 136.7280734028.

The spelling of 2556072 in words is "two million, five hundred fifty-six thousand, seventy-two".