2592672 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 852992.

The previous prime is 2592649. The next prime is 2592673. The reversal of 2592672 is 2762952.

It is a happy number.

2592672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2592673) 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 7 ways as a sum of consecutive naturals, for example, 10729 + ... + 10967.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

2^2592672 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 2592672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2592672 is an abundant number, since it is smaller than the sum of its proper divisors (4302048).

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

2592672 is a wasteful number, since it uses less digits than its factorization.

2592672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 2592672 is about 1610.1776299527. The cubic root of 2592672 is about 137.3775791913.

The spelling of 2592672 in words is "two million, five hundred ninety-two thousand, six hundred seventy-two".