32025000 has 192 divisors, whose sum is σ = 116242560. Its totient is φ = 7200000.

The previous prime is 32024999. The next prime is 32025029. The reversal of 32025000 is 52023.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 524970 + ... + 525030.

It is an arithmetic number, because the mean of its divisors is an integer number (605430).

Almost surely, 2^32025000 is an apocalyptic number.

32025000 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 32025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121280).

32025000 is an abundant number, since it is smaller than the sum of its proper divisors (84217560).

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

32025000 is an equidigital number, since it uses as much as digits as its factorization.

32025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 32025000 is about 5659.0635267684. The cubic root of 32025000 is about 317.5628660106.

Adding to 32025000 its reverse (52023), we get a palindrome (32077023).

It can be divided in two parts, 320 and 25000, that multiplied together give a cube (8000000 = 200³).

The spelling of 32025000 in words is "thirty-two million, twenty-five thousand".