2067072 has 64 divisors (see below), whose sum is σ = 6283200. Its totient is φ = 589824.

The previous prime is 2067071. The next prime is 2067073. The reversal of 2067072 is 2707602.

It is an interprime number because it is at equal distance from previous prime (2067071) and next prime (2067073).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2067071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2304 + ... + 3072.

It is an arithmetic number, because the mean of its divisors is an integer number (98175).

2^2067072 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 2067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141600).

2067072 is an abundant number, since it is smaller than the sum of its proper divisors (4216128).

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

2067072 is an equidigital number, since it uses as much as digits as its factorization.

2067072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 2067072 is about 1437.7315465691. The cubic root of 2067072 is about 127.3850713671.

The spelling of 2067072 in words is "two million, sixty-seven thousand, seventy-two".