11088072 has 24 divisors (see below), whose sum is σ = 30030390. Its totient is φ = 3696000.

The previous prime is 11088071. The next prime is 11088073. The reversal of 11088072 is 27088011.

It is an interprime number because it is at equal distance from previous prime (11088071) and next prime (11088073).

It can be written as a sum of positive squares in only one way, i.e., 7650756 + 3437316 = 2766^2 + 1854^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (11088071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76929 + ... + 77072.

Almost surely, 2^11088072 is an apocalyptic number.

11088072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11088072 is an abundant number, since it is smaller than the sum of its proper divisors (18942318).

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

11088072 is a wasteful number, since it uses less digits than its factorization.

11088072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154013 (or 154006 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11088072 is about 3329.8756733548. The cubic root of 11088072 is about 222.9899785693.

It can be divided in two parts, 1108807 and 2, that added together give a square (1108809 = 1053²).

The spelling of 11088072 in words is "eleven million, eighty-eight thousand, seventy-two".