10007532 has 36 divisors (see below), whose sum is σ = 25454520. Its totient is φ = 3315072.

The previous prime is 10007489. The next prime is 10007533. The reversal of 10007532 is 23570001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10007533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5668 + ... + 7220.

It is an arithmetic number, because the mean of its divisors is an integer number (707070).

Almost surely, 2^10007532 is an apocalyptic number.

10007532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10007532 is an abundant number, since it is smaller than the sum of its proper divisors (15446988).

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

10007532 is a wasteful number, since it uses less digits than its factorization.

10007532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10007532 is about 3163.4683497705. The cubic root of 10007532 is about 215.4975461021.

Adding to 10007532 its reverse (23570001), we get a palindrome (33577533).

The spelling of 10007532 in words is "ten million, seven thousand, five hundred thirty-two".