32573728 has 48 divisors (see below), whose sum is σ = 72394560. Its totient is φ = 14291200.

The previous prime is 32573617. The next prime is 32573729. The reversal of 32573728 is 82737523.

It is a super-2 number, since 2×32573728² = 2122095511635968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (32573729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8613 + ... + 11803.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^32573728 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 32573728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

32573728 is an abundant number, since it is smaller than the sum of its proper divisors (39820832).

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

32573728 is a wasteful number, since it uses less digits than its factorization.

32573728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3233 counting only the distinct ones).

The product of its digits is 70560, while the sum is 37.

The square root of 32573728 is about 5707.3398356853. The cubic root of 32573728 is about 319.3663502699.

The spelling of 32573728 in words is "thirty-two million, five hundred seventy-three thousand, seven hundred twenty-eight".