11533752 has 96 divisors (see below), whose sum is σ = 34398000. Its totient is φ = 3608064.

The previous prime is 11533747. The next prime is 11533757. The reversal of 11533752 is 25733511.

It is an interprime number because it is at equal distance from previous prime (11533747) and next prime (11533757).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11533757) 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 23 ways as a sum of consecutive naturals, for example, 32874 + ... + 33222.

Almost surely, 2^11533752 is an apocalyptic number.

11533752 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 11533752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199000).

11533752 is an abundant number, since it is smaller than the sum of its proper divisors (22864248).

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

11533752 is a wasteful number, since it uses less digits than its factorization.

11533752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 11533752 is about 3396.1378063913. The cubic root of 11533752 is about 225.9384801356.

The spelling of 11533752 in words is "eleven million, five hundred thirty-three thousand, seven hundred fifty-two".