10007552 has 44 divisors (see below), whose sum is σ = 20756580. Its totient is φ = 4816896.

The previous prime is 10007539. The next prime is 10007561. The reversal of 10007552 is 25570001.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 6071296 = 1984^2 + 2464^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 29528 + ... + 29864.

Almost surely, 2^10007552 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 10007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378290).

10007552 is an abundant number, since it is smaller than the sum of its proper divisors (10749028).

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

10007552 is an equidigital number, since it uses as much as digits as its factorization.

10007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 10007552 is about 3163.4715108564. The cubic root of 10007552 is about 215.4976896589.

Adding to 10007552 its reverse (25570001), we get a palindrome (35577553).

The spelling of 10007552 in words is "ten million, seven thousand, five hundred fifty-two".