2019072 has 72 divisors (see below), whose sum is σ = 5886720. Its totient is φ = 609280.

The previous prime is 2019071. The next prime is 2019077. The reversal of 2019072 is 2709102.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2019071) 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, 8329 + ... + 8567.

It is an arithmetic number, because the mean of its divisors is an integer number (81760).

2^2019072 is an apocalyptic number.

2019072 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 2019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943360).

2019072 is an abundant number, since it is smaller than the sum of its proper divisors (3867648).

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

2019072 is a wasteful number, since it uses less digits than its factorization.

2019072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 2019072 is about 1420.9405335903. The cubic root of 2019072 is about 126.3913255811.

The spelling of 2019072 in words is "two million, nineteen thousand, seventy-two".