1088272 has 20 divisors (see below), whose sum is σ = 2233116. Its totient is φ = 512000.

The previous prime is 1088267. The next prime is 1088273. The reversal of 1088272 is 2728801.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 698896 = 624^2 + 836^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1088272.

It is not an unprimeable number, because it can be changed into a prime (1088273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1729 + ... + 2272.

2^1088272 is an apocalyptic number.

It is an amenable number.

1088272 is an abundant number, since it is smaller than the sum of its proper divisors (1144844).

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

1088272 is a wasteful number, since it uses less digits than its factorization.

1088272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 1088272 is about 1043.2027607325. The cubic root of 1088272 is about 102.8598338508.

It can be divided in two parts, 1088 and 272, that multiplied together give a square (295936 = 544²).

The spelling of 1088272 in words is "one million, eighty-eight thousand, two hundred seventy-two".