32016672 has 72 divisors (see below), whose sum is σ = 95855760. Its totient is φ = 10108800.

The previous prime is 32016671. The next prime is 32016689. The reversal of 32016672 is 27661023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (32016671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2547 + ... + 8397.

It is an arithmetic number, because the mean of its divisors is an integer number (1331330).

Almost surely, 2^32016672 is an apocalyptic number.

32016672 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 32016672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47927880).

32016672 is an abundant number, since it is smaller than the sum of its proper divisors (63839088).

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

32016672 is a wasteful number, since it uses less digits than its factorization.

32016672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 32016672 is about 5658.3276681366. The cubic root of 32016672 is about 317.5353365510.

Adding to 32016672 its reverse (27661023), we get a palindrome (59677695).

The spelling of 32016672 in words is "thirty-two million, sixteen thousand, six hundred seventy-two".