2772 has 36 divisors (see below), whose sum is σ = 8736. Its totient is φ = 720.

The previous prime is 2767. The next prime is 2777.

2772 is nontrivially palindromic in base 10 and base 15.

2772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2767) and next prime (2777).

It is a tau number, because it is divible by the number of its divisors (36).

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

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

2772 is an undulating number in base 15.

Its product of digits (196) is a multiple of the sum of its prime factors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247 + ... + 257.

2772 is a gapful number since it is divisible by the number (22) 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 2772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368).

2772 is an abundant number, since it is smaller than the sum of its proper divisors (5964).

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

2772 is a wasteful number, since it uses less digits than its factorization.

2772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 23 counting only the distinct ones).

The product of its digits is 196, while the sum is 18.

The square root of 2772 is about 52.6497863244. The cubic root of 2772 is about 14.0474579901.

It can be divided in two parts, 27 and 72, that added together give a palindrome (99).

The spelling of 2772 in words is "two thousand, seven hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772

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