32721280 has 128 divisors (see below), whose sum is σ = 84823200. Its totient is φ = 12042240.

The previous prime is 32721263. The next prime is 32721281. The reversal of 32721280 is 8212723.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32721281) by changing a digit.

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, 760939 + ... + 760981.

Almost surely, 2^32721280 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 32721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42411600).

32721280 is an abundant number, since it is smaller than the sum of its proper divisors (52101920).

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

32721280 is a wasteful number, since it uses less digits than its factorization.

32721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 32721280 is about 5720.2517427120. The cubic root of 32721280 is about 319.8478443302.

The spelling of 32721280 in words is "thirty-two million, seven hundred twenty-one thousand, two hundred eighty".