11802752 has 64 divisors (see below), whose sum is σ = 26089560. Its totient is φ = 5283840.

The previous prime is 11802731. The next prime is 11802779. The reversal of 11802752 is 25720811.

It can be written as a sum of positive squares in 4 ways, for example, as 7706176 + 4096576 = 2776^2 + 2024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68138 + ... + 68310.

Almost surely, 2^11802752 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 11802752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13044780).

11802752 is an abundant number, since it is smaller than the sum of its proper divisors (14286808).

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

11802752 is a wasteful number, since it uses less digits than its factorization.

11802752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 11802752 is about 3435.5133531977. The cubic root of 11802752 is about 227.6815087310.

The spelling of 11802752 in words is "eleven million, eight hundred two thousand, seven hundred fifty-two".