2772192 has 48 divisors (see below), whose sum is σ = 7402752. Its totient is φ = 908160.

The previous prime is 2772191. The next prime is 2772193. The reversal of 2772192 is 2912772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2772191) and next prime (2772193).

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 (2772191) 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, 6217 + ... + 6647.

It is an arithmetic number, because the mean of its divisors is an integer number (154224).

2^2772192 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 2772192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376).

2772192 is an abundant number, since it is smaller than the sum of its proper divisors (4630560).

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

2772192 is a wasteful number, since it uses less digits than its factorization.

2772192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 2772192 is about 1664.9900900606. The cubic root of 2772192 is about 140.4778231061.

The spelling of 2772192 in words is "two million, seven hundred seventy-two thousand, one hundred ninety-two".