32125200 has 120 divisors (see below), whose sum is σ = 108400800. Its totient is φ = 8110080.

The previous prime is 32125193. The next prime is 32125201. The reversal of 32125200 is 252123.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32125200.

It is not an unprimeable number, because it can be changed into a prime (32125201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22096 + ... + 23504.

It is an arithmetic number, because the mean of its divisors is an integer number (903340).

Almost surely, 2^32125200 is an apocalyptic number.

32125200 is a gapful number since it is divisible by the number (30) 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 32125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54200400).

32125200 is an abundant number, since it is smaller than the sum of its proper divisors (76275600).

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

32125200 is a wasteful number, since it uses less digits than its factorization.

32125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 32125200 is about 5667.9096675935. The cubic root of 32125200 is about 317.8937186856.

Adding to 32125200 its reverse (252123), we get a palindrome (32377323).

The spelling of 32125200 in words is "thirty-two million, one hundred twenty-five thousand, two hundred".