2010072 has 32 divisors (see below), whose sum is σ = 5111280. Its totient is φ = 658560.

The previous prime is 2010061. The next prime is 2010083. The reversal of 2010072 is 2700102.

It is an interprime number because it is at equal distance from previous prime (2010061) and next prime (2010083).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778 + ... + 2150.

2^2010072 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 2010072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555640).

2010072 is an abundant number, since it is smaller than the sum of its proper divisors (3101208).

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

2010072 is a wasteful number, since it uses less digits than its factorization.

2010072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2010072 is about 1417.7700800906. The cubic root of 2010072 is about 126.2032496905.

Adding to 2010072 its reverse (2700102), we get a palindrome (4710174).

The spelling of 2010072 in words is "two million, ten thousand, seventy-two".