325072800 has 432 divisors, whose sum is σ = 1296667008. Its totient is φ = 76032000.

The previous prime is 325072757. The next prime is 325072807. The reversal of 325072800 is 8270523.

It is not an unprimeable number, because it can be changed into a prime (325072807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2152725 + ... + 2152875.

It is an arithmetic number, because the mean of its divisors is an integer number (3001544).

Almost surely, 2^325072800 is an apocalyptic number.

325072800 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 325072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

325072800 is an abundant number, since it is smaller than the sum of its proper divisors (971594208).

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

325072800 is a wasteful number, since it uses less digits than its factorization.

325072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 325072800 is about 18029.7753729768. The cubic root of 325072800 is about 687.5857656088.

The spelling of 325072800 in words is "three hundred twenty-five million, seventy-two thousand, eight hundred".