32052000 has 96 divisors (see below), whose sum is σ = 105041664. Its totient is φ = 8544000.

The previous prime is 32051977. The next prime is 32052019. The reversal of 32052000 is 25023.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 10665 + ... + 13335.

It is an arithmetic number, because the mean of its divisors is an integer number (1094184).

Almost surely, 2^32052000 is an apocalyptic number.

32052000 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 32052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52520832).

32052000 is an abundant number, since it is smaller than the sum of its proper divisors (72989664).

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

32052000 is a wasteful number, since it uses less digits than its factorization.

32052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2681 counting only the distinct ones).

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

The square root of 32052000 is about 5661.4485778818. The cubic root of 32052000 is about 317.6520857754.

Adding to 32052000 its reverse (25023), we get a palindrome (32077023).

The spelling of 32052000 in words is "thirty-two million, fifty-two thousand", and thus it is an eban number.