32442912 has 72 divisors (see below), whose sum is σ = 93090816. Its totient is φ = 10717056.

The previous prime is 32442901. The next prime is 32442913. The reversal of 32442912 is 21924423.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32442913) 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 11 ways as a sum of consecutive naturals, for example, 36133 + ... + 37019.

It is an arithmetic number, because the mean of its divisors is an integer number (1292928).

Almost surely, 2^32442912 is an apocalyptic number.

32442912 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 32442912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46545408).

32442912 is an abundant number, since it is smaller than the sum of its proper divisors (60647904).

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

32442912 is a wasteful number, since it uses less digits than its factorization.

32442912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1019 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 32442912 is about 5695.8679759980. The cubic root of 32442912 is about 318.9382518888.

The spelling of 32442912 in words is "thirty-two million, four hundred forty-two thousand, nine hundred twelve".