2772168 has 64 divisors (see below), whose sum is σ = 8208000. Its totient is φ = 763392.

The previous prime is 2772137. The next prime is 2772179. The reversal of 2772168 is 8612772.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4588 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (128250).

2^2772168 is an apocalyptic number.

2772168 is a gapful number since it is divisible by the number (28) 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 2772168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104000).

2772168 is an abundant number, since it is smaller than the sum of its proper divisors (5435832).

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

2772168 is a wasteful number, since it uses less digits than its factorization.

2772168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 610 counting only the distinct ones).

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

The square root of 2772168 is about 1664.9828827949. The cubic root of 2772168 is about 140.4774177136.

The spelling of 2772168 in words is "two million, seven hundred seventy-two thousand, one hundred sixty-eight".