1272288 has 48 divisors (see below), whose sum is σ = 3462480. Its totient is φ = 408576.

The previous prime is 1272287. The next prime is 1272289. The reversal of 1272288 is 8822721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1272287) and next prime (1272289).

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 (1272281) 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, 2556 + ... + 3012.

It is an arithmetic number, because the mean of its divisors is an integer number (72135).

2^1272288 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 1272288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731240).

1272288 is an abundant number, since it is smaller than the sum of its proper divisors (2190192).

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

1272288 is a wasteful number, since it uses less digits than its factorization.

1272288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 1272288 is about 1127.9574460058. The cubic root of 1272288 is about 108.3582070432.

It can be divided in two parts, 127 and 2288, that added together give a triangular number (2415 = T₆₉).

The spelling of 1272288 in words is "one million, two hundred seventy-two thousand, two hundred eighty-eight".