32348672 has 80 divisors (see below), whose sum is σ = 70120512. Its totient is φ = 14868480.

The previous prime is 32348653. The next prime is 32348677. The reversal of 32348672 is 27684323.

It is not an unprimeable number, because it can be changed into a prime (32348677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482783 + ... + 482849.

Almost surely, 2^32348672 is an apocalyptic number.

32348672 is a gapful number since it is divisible by the number (32) 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 32348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35060256).

32348672 is an abundant number, since it is smaller than the sum of its proper divisors (37771840).

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

32348672 is an equidigital number, since it uses as much as digits as its factorization.

32348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 32348672 is about 5687.5892960023. The cubic root of 32348672 is about 318.6291356705.

The spelling of 32348672 in words is "thirty-two million, three hundred forty-eight thousand, six hundred seventy-two".