32052672 has 112 divisors (see below), whose sum is σ = 95808800. Its totient is φ = 10637568.

The previous prime is 32052659. The next prime is 32052697. The reversal of 32052672 is 27625023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 139854 + ... + 140082.

Almost surely, 2^32052672 is an apocalyptic number.

32052672 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 32052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47904400).

32052672 is an abundant number, since it is smaller than the sum of its proper divisors (63756128).

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

32052672 is an frugal number, since it uses more digits than its factorization.

32052672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 32052672 is about 5661.5079263391. The cubic root of 32052672 is about 317.6543057170.

Adding to 32052672 its reverse (27625023), we get a palindrome (59677695).

The spelling of 32052672 in words is "thirty-two million, fifty-two thousand, six hundred seventy-two".