10072832 has 108 divisors (see below), whose sum is σ = 25864776. Its totient is φ = 3870720.

The previous prime is 10072817. The next prime is 10072837. The reversal of 10072832 is 23827001.

It is a junction number, because it is equal to n+sod(n) for n = 10072798 and 10072807.

It is not an unprimeable number, because it can be changed into a prime (10072837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137948 + ... + 138020.

Almost surely, 2^10072832 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 10072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12932388).

10072832 is an abundant number, since it is smaller than the sum of its proper divisors (15791944).

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

10072832 is an equidigital number, since it uses as much as digits as its factorization.

10072832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10072832 is about 3173.7725186283. The cubic root of 10072832 is about 215.9652436075.

Adding to 10072832 its reverse (23827001), we get a palindrome (33899833).

The spelling of 10072832 in words is "ten million, seventy-two thousand, eight hundred thirty-two".