2772144 has 120 divisors (see below), whose sum is σ = 8666112. Its totient is φ = 855360.

The previous prime is 2772137. The next prime is 2772179. The reversal of 2772144 is 4412772.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89409 + ... + 89439.

2^2772144 is an apocalyptic number.

2772144 is a gapful number since it is divisible by the number (24) 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 2772144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333056).

2772144 is an abundant number, since it is smaller than the sum of its proper divisors (5893968).

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

2772144 is a wasteful number, since it uses less digits than its factorization.

2772144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 2772144 is about 1664.9756754980. The cubic root of 2772144 is about 140.4770123188.

It can be divided in two parts, 2772 and 144, that added together give a square (2916 = 54²).

The spelling of 2772144 in words is "two million, seven hundred seventy-two thousand, one hundred forty-four".