1272888 has 64 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 413280.

The previous prime is 1272883. The next prime is 1272893. The reversal of 1272888 is 8882721.

It is an interprime number because it is at equal distance from previous prime (1272883) and next prime (1272893).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15295 + ... + 15377.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^1272888 is an apocalyptic number.

1272888 is a gapful number since it is divisible by the number (18) 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 1272888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1272888 is an abundant number, since it is smaller than the sum of its proper divisors (2355912).

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

1272888 is a wasteful number, since it uses less digits than its factorization.

1272888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 1272888 is about 1128.2233821367. The cubic root of 1272888 is about 108.3752379636.

It can be divided in two parts, 12 and 72888, that added together give a square (72900 = 270²).

The spelling of 1272888 in words is "one million, two hundred seventy-two thousand, eight hundred eighty-eight".