10531752 has 128 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2649600.

The previous prime is 10531751. The next prime is 10531771. The reversal of 10531752 is 25713501.

It is a super-2 number, since 2×10531752² = 221835600379008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10531751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75699 + ... + 75837.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^10531752 is an apocalyptic number.

10531752 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 10531752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

10531752 is an abundant number, since it is smaller than the sum of its proper divisors (23337048).

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

10531752 is a wasteful number, since it uses less digits than its factorization.

10531752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 10531752 is about 3245.2660907852. The cubic root of 10531752 is about 219.1964626385.

The spelling of 10531752 in words is "ten million, five hundred thirty-one thousand, seven hundred fifty-two".