2071872 has 112 divisors (see below), whose sum is σ = 6705600. Its totient is φ = 622080.

The previous prime is 2071859. The next prime is 2071873. The reversal of 2071872 is 2781702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071873) 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 15 ways as a sum of consecutive naturals, for example, 18954 + ... + 19062.

2^2071872 is an apocalyptic number.

2071872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352800).

2071872 is an abundant number, since it is smaller than the sum of its proper divisors (4633728).

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

2071872 is a wasteful number, since it uses less digits than its factorization.

2071872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2071872 is about 1439.3998749479. The cubic root of 2071872 is about 127.4835965056.

The spelling of 2071872 in words is "two million, seventy-one thousand, eight hundred seventy-two".