2100072 has 64 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 628992.

The previous prime is 2100071. The next prime is 2100079. The reversal of 2100072 is 2700012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100071) 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 15 ways as a sum of consecutive naturals, for example, 16473 + ... + 16599.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^2100072 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 2100072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2100072 is an abundant number, since it is smaller than the sum of its proper divisors (3706008).

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

2100072 is a wasteful number, since it uses less digits than its factorization.

2100072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

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

The square root of 2100072 is about 1449.1625167661. The cubic root of 2100072 is about 128.0593800011.

Adding to 2100072 its reverse (2700012), we get a palindrome (4800084).

The spelling of 2100072 in words is "two million, one hundred thousand, seventy-two".