1288872 has 112 divisors (see below), whose sum is σ = 4131540. Its totient is φ = 373248.

The previous prime is 1288871. The next prime is 1288873. The reversal of 1288872 is 2788821.

It is an interprime number because it is at equal distance from previous prime (1288871) and next prime (1288873).

It can be written as a sum of positive squares in 2 ways, for example, as 1285956 + 2916 = 1134^2 + 54^2 .

It is a super-2 number, since 2×1288872² = 3322382064768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (1288871) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75808 + ... + 75824.

2^1288872 is an apocalyptic number.

1288872 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 1288872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065770).

1288872 is an abundant number, since it is smaller than the sum of its proper divisors (2842668).

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

1288872 is a wasteful number, since it uses less digits than its factorization.

1288872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 35 counting only the distinct ones).

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

The square root of 1288872 is about 1135.2849862479. The cubic root of 1288872 is about 108.8269847282.

The spelling of 1288872 in words is "one million, two hundred eighty-eight thousand, eight hundred seventy-two".