32572000 has 96 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 12236800.

The previous prime is 32571997. The next prime is 32572013. The reversal of 32572000 is 27523.

It is a happy number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67761 + ... + 68239.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^32572000 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 32572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

32572000 is an abundant number, since it is smaller than the sum of its proper divisors (52341920).

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

32572000 is a wasteful number, since it uses less digits than its factorization.

32572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 32572000 is about 5707.1884496659. The cubic root of 32572000 is about 319.3607028270.

Adding to 32572000 its reverse (27523), we get a palindrome (32599523).

The spelling of 32572000 in words is "thirty-two million, five hundred seventy-two thousand".