52032064 has 112 divisors (see below), whose sum is σ = 125707648. Its totient is φ = 20901888.

The previous prime is 52032059. The next prime is 52032073. The reversal of 52032064 is 46023025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712732 + ... + 712804.

Almost surely, 2^52032064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853824).

52032064 is an abundant number, since it is smaller than the sum of its proper divisors (73675584).

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

52032064 is a wasteful number, since it uses less digits than its factorization.

52032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 52032064 is about 7213.3254466993. The cubic root of 52032064 is about 373.3278173788.

Adding to 52032064 its reverse (46023025), we get a palindrome (98055089).

The spelling of 52032064 in words is "fifty-two million, thirty-two thousand, sixty-four", and thus it is an eban number.