32325000 has 96 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 8600000.

The previous prime is 32324987. The next prime is 32325017. The reversal of 32325000 is 52323.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74785 + ... + 75215.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^32325000 is an apocalyptic number.

32325000 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 32325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

32325000 is an abundant number, since it is smaller than the sum of its proper divisors (68918520).

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

32325000 is an equidigital number, since it uses as much as digits as its factorization.

32325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 32325000 is about 5685.5078928799. The cubic root of 32325000 is about 318.5513949266.

Subtracting from 32325000 its product of nonzero digits (180), we obtain a triangular number (32324820 = T₈₀₄₀).

Adding to 32325000 its reverse (52323), we get a palindrome (32377323).

The spelling of 32325000 in words is "thirty-two million, three hundred twenty-five thousand".