32538672 has 60 divisors (see below), whose sum is σ = 94447080. Its totient is φ = 10844928.

The previous prime is 32538641. The next prime is 32538673. The reversal of 32538672 is 27683523.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32538673) 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, 297 + ... + 8072.

It is an arithmetic number, because the mean of its divisors is an integer number (1574118).

Almost surely, 2^32538672 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 32538672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47223540).

32538672 is an abundant number, since it is smaller than the sum of its proper divisors (61908408).

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

32538672 is an equidigital number, since it uses as much as digits as its factorization.

32538672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8374 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 32538672 is about 5704.2678758978. The cubic root of 32538672 is about 319.2517412874.

The spelling of 32538672 in words is "thirty-two million, five hundred thirty-eight thousand, six hundred seventy-two".