2072160 has 72 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 552192.

The previous prime is 2072153. The next prime is 2072179. The reversal of 2072160 is 612702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 721 + ... + 2159.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

2^2072160 is an apocalyptic number.

2072160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1439×1440.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2072160 is an abundant number, since it is smaller than the sum of its proper divisors (5004000).

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

2072160 is a wasteful number, since it uses less digits than its factorization.

2072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2072160 is about 1439.4999131643. The cubic root of 2072160 is about 127.4895031727.

Adding to 2072160 its reverse (612702), we get a palindrome (2684862).

The spelling of 2072160 in words is "two million, seventy-two thousand, one hundred sixty".