1272 has 16 divisors (see below), whose sum is σ = 3240. Its totient is φ = 416.

The previous prime is 1259. The next prime is 1277. The reversal of 1272 is 2721.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1272.

It is not an unprimeable number, because it can be changed into a prime (1277) by changing a digit.

1272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 50.

2¹²⁷² is an apocalyptic number.

1272 is a gapful number since it is divisible by the number (12) 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 1272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620).

1272 is an abundant number, since it is smaller than the sum of its proper divisors (1968).

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

1272 is a wasteful number, since it uses less digits than its factorization.

1272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its digits is 28, while the sum is 12.

The square root of 1272 is about 35.6651090003. The cubic root of 1272 is about 10.8350030300.

Adding to 1272 its reverse (2721), we get a palindrome (3993).

The spelling of 1272 in words is "one thousand, two hundred seventy-two", and thus it is an iban number.