11752224 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3436800.

The previous prime is 11752217. The next prime is 11752249. The reversal of 11752224 is 42225711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11752224² = 276229537892352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11752194 and 11752203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32557 + ... + 32915.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^11752224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11752224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

11752224 is an abundant number, since it is smaller than the sum of its proper divisors (23084256).

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

11752224 is a wasteful number, since it uses less digits than its factorization.

11752224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 11752224 is about 3428.1516885926. The cubic root of 11752224 is about 227.3561397778.

Adding to 11752224 its reverse (42225711), we get a palindrome (53977935).

The spelling of 11752224 in words is "eleven million, seven hundred fifty-two thousand, two hundred twenty-four".