10732032 has 120 divisors (see below), whose sum is σ = 33034716. Its totient is φ = 3342336.

The previous prime is 10732021. The next prime is 10732039. The reversal of 10732032 is 23023701.

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 389376 = 3216^2 + 624^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10731996 and 10732014.

It is not an unprimeable number, because it can be changed into a prime (10732039) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 78268 + ... + 78404.

Almost surely, 2^10732032 is an apocalyptic number.

10732032 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 10732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16517358).

10732032 is an abundant number, since it is smaller than the sum of its proper divisors (22302684).

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

10732032 is a wasteful number, since it uses less digits than its factorization.

10732032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 10732032 is about 3275.9780219043. The cubic root of 10732032 is about 220.5772170057.

Adding to 10732032 its reverse (23023701), we get a palindrome (33755733).

The spelling of 10732032 in words is "ten million, seven hundred thirty-two thousand, thirty-two".