2172768 has 48 divisors (see below), whose sum is σ = 6145776. Its totient is φ = 668160.

The previous prime is 2172761. The next prime is 2172773. The reversal of 2172768 is 8672712.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172761) 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, 378 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (128037).

2^2172768 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 2172768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072888).

2172768 is an abundant number, since it is smaller than the sum of its proper divisors (3973008).

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

2172768 is a wasteful number, since it uses less digits than its factorization.

2172768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1759 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 2172768 is about 1474.0312072680. The cubic root of 2172768 is about 129.5202832428.

The spelling of 2172768 in words is "two million, one hundred seventy-two thousand, seven hundred sixty-eight".