32972000 has 48 divisors (see below), whose sum is σ = 81022032. Its totient is φ = 13187200.

The previous prime is 32971997. The next prime is 32972021. The reversal of 32972000 is 27923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122 + ... + 8121.

It is an arithmetic number, because the mean of its divisors is an integer number (1687959).

Almost surely, 2^32972000 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 32972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40511016).

32972000 is an abundant number, since it is smaller than the sum of its proper divisors (48050032).

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

32972000 is an equidigital number, since it uses as much as digits as its factorization.

32972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8268 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 32972000 is about 5742.1250421773. The cubic root of 32972000 is about 320.6626891872.

Adding to 32972000 its reverse (27923), we get a palindrome (32999923).

The spelling of 32972000 in words is "thirty-two million, nine hundred seventy-two thousand".