32532672 has 112 divisors (see below), whose sum is σ = 92171520. Its totient is φ = 10103808.

The previous prime is 32532667. The next prime is 32532677. The reversal of 32532672 is 27623523.

It is an interprime number because it is at equal distance from previous prime (32532667) and next prime (32532677).

It is not an unprimeable number, because it can be changed into a prime (32532677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233979 + ... + 234117.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

Almost surely, 2^32532672 is an apocalyptic number.

32532672 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 32532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

32532672 is an abundant number, since it is smaller than the sum of its proper divisors (59638848).

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

32532672 is a wasteful number, since it uses less digits than its factorization.

32532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its digits is 15120, while the sum is 30.

The square root of 32532672 is about 5703.7419296458. The cubic root of 32532672 is about 319.2321171696.

The spelling of 32532672 in words is "thirty-two million, five hundred thirty-two thousand, six hundred seventy-two".