2072896 has 42 divisors (see below), whose sum is σ = 4792218. Its totient is φ = 887040.

The previous prime is 2072893. The next prime is 2072897. The reversal of 2072896 is 6982702.

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 112896 = 1400^2 + 336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072893) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2806 + ... + 3466.

2^2072896 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 2072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396109).

2072896 is an abundant number, since it is smaller than the sum of its proper divisors (2719322).

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

2072896 is an equidigital number, since it uses as much as digits as its factorization.

2072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2072896 is about 1439.7555348044. The cubic root of 2072896 is about 127.5045955027.

The spelling of 2072896 in words is "two million, seventy-two thousand, eight hundred ninety-six".