32027072 has 112 divisors (see below), whose sum is σ = 81247488. Its totient is φ = 12165120.

The previous prime is 32027041. The next prime is 32027081. The reversal of 32027072 is 27072023.

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

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, 330128 + ... + 330224.

It is an arithmetic number, because the mean of its divisors is an integer number (725424).

Almost surely, 2^32027072 is an apocalyptic number.

32027072 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 32027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40623744).

32027072 is an abundant number, since it is smaller than the sum of its proper divisors (49220416).

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

32027072 is a wasteful number, since it uses less digits than its factorization.

32027072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 32027072 is about 5659.2465929662. The cubic root of 32027072 is about 317.5697145775.

Adding to 32027072 its reverse (27072023), we get a palindrome (59099095).

The spelling of 32027072 in words is "thirty-two million, twenty-seven thousand, seventy-two".