32724560 has 80 divisors (see below), whose sum is σ = 85119552. Its totient is φ = 11596800.

The previous prime is 32724553. The next prime is 32724563. The reversal of 32724560 is 6542723.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32724563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35627 + ... + 36533.

Almost surely, 2^32724560 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 32724560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42559776).

32724560 is an abundant number, since it is smaller than the sum of its proper divisors (52394992).

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

32724560 is a wasteful number, since it uses less digits than its factorization.

32724560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 32724560 is about 5720.5384361964. The cubic root of 32724560 is about 319.8585312173.

The spelling of 32724560 in words is "thirty-two million, seven hundred twenty-four thousand, five hundred sixty".