10566752 has 72 divisors (see below), whose sum is σ = 25338096. Its totient is φ = 4316928.

The previous prime is 10566749. The next prime is 10566757. The reversal of 10566752 is 25766501.

It is a happy number.

It is a super-2 number, since 2×10566752² = 223312495659008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10566757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35918 + ... + 36210.

It is an arithmetic number, because the mean of its divisors is an integer number (351918).

Almost surely, 2^10566752 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 10566752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669048).

10566752 is an abundant number, since it is smaller than the sum of its proper divisors (14771344).

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

10566752 is a wasteful number, since it uses less digits than its factorization.

10566752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 10566752 is about 3250.6540880260. The cubic root of 10566752 is about 219.4390114959.

The spelling of 10566752 in words is "ten million, five hundred sixty-six thousand, seven hundred fifty-two".