11528172 has 36 divisors (see below), whose sum is σ = 29433040. Its totient is φ = 3804192.

The previous prime is 11528149. The next prime is 11528173. The reversal of 11528172 is 27182511.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×11528172³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11528173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2154 + ... + 5262.

Almost surely, 2^11528172 is an apocalyptic number.

11528172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11528172 is an abundant number, since it is smaller than the sum of its proper divisors (17904868).

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

11528172 is a wasteful number, since it uses less digits than its factorization.

11528172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3217 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 11528172 is about 3395.3161855709. The cubic root of 11528172 is about 225.9020381033.

The spelling of 11528172 in words is "eleven million, five hundred twenty-eight thousand, one hundred seventy-two".