32252000 has 96 divisors (see below), whose sum is σ = 86565024. Its totient is φ = 11712000.

The previous prime is 32251993. The next prime is 32252023. The reversal of 32252000 is 25223.

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, 43634 + ... + 44366.

It is an arithmetic number, because the mean of its divisors is an integer number (901719).

Almost surely, 2^32252000 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 32252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43282512).

32252000 is an abundant number, since it is smaller than the sum of its proper divisors (54313024).

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

32252000 is a wasteful number, since it uses less digits than its factorization.

32252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 32252000 is about 5679.0844332515. The cubic root of 32252000 is about 318.3114178298.

Adding to 32252000 its reverse (25223), we get a palindrome (32277223).

It can be divided in two parts, 3225 and 2000, that added together give a palindrome (5225).

The spelling of 32252000 in words is "thirty-two million, two hundred fifty-two thousand".