10012032 has 64 divisors (see below), whose sum is σ = 29559600. Its totient is φ = 3336192.

The previous prime is 10012027. The next prime is 10012033. The reversal of 10012032 is 23021001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2008 + ... + 4904.

Almost surely, 2^10012032 is an apocalyptic number.

10012032 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 10012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14779800).

10012032 is an abundant number, since it is smaller than the sum of its proper divisors (19547568).

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

10012032 is an equidigital number, since it uses as much as digits as its factorization.

10012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10012032 is about 3164.1795145029. The cubic root of 10012032 is about 215.5298415653.

Adding to 10012032 its reverse (23021001), we get a palindrome (33033033).

The spelling of 10012032 in words is "ten million, twelve thousand, thirty-two".