325315872 has 288 divisors, whose sum is σ = 1152144000. Its totient is φ = 87464448.

The previous prime is 325315831. The next prime is 325315883. The reversal of 325315872 is 278513523.

It is a happy number.

325315872 is a `hidden beast` number, since 3 + 2 + 531 + 58 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (50400) is a multiple of the sum of its prime divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2183254 + ... + 2183402.

It is an arithmetic number, because the mean of its divisors is an integer number (4000500).

Almost surely, 2^325315872 is an apocalyptic number.

325315872 is a gapful number since it is divisible by the number (32) 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 325315872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072000).

325315872 is an abundant number, since it is smaller than the sum of its proper divisors (826828128).

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

325315872 is a wasteful number, since it uses less digits than its factorization.

325315872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 325315872 is about 18036.5149627083. The cubic root of 325315872 is about 687.7571028261.

The spelling of 325315872 in words is "three hundred twenty-five million, three hundred fifteen thousand, eight hundred seventy-two".