10010752 has 32 divisors (see below), whose sum is σ = 20095020. Its totient is φ = 4967424.

The previous prime is 10010747. The next prime is 10010753. The reversal of 10010752 is 25701001.

It can be written as a sum of positive squares in 2 ways, for example, as 8433216 + 1577536 = 2904^2 + 1256^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10010753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25018 + ... + 25414.

Almost surely, 2^10010752 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 10010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10047510).

10010752 is an abundant number, since it is smaller than the sum of its proper divisors (10084268).

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

10010752 is an equidigital number, since it uses as much as digits as its factorization.

10010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 10010752 is about 3163.9772439131. The cubic root of 10010752 is about 215.5206562852.

Adding to 10010752 its reverse (25701001), we get a palindrome (35711753).

The spelling of 10010752 in words is "ten million, ten thousand, seven hundred fifty-two".