32873220 has 72 divisors (see below), whose sum is σ = 100365720. Its totient is φ = 8709120.

The previous prime is 32873209. The next prime is 32873221. The reversal of 32873220 is 2237823.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 32421636 = 672^2 + 5694^2 .

It is not an unprimeable number, because it can be changed into a prime (32873221) 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 23 ways as a sum of consecutive naturals, for example, 32076 + ... + 33084.

Almost surely, 2^32873220 is an apocalyptic number.

32873220 is a gapful number since it is divisible by the number (30) 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 32873220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50182860).

32873220 is an abundant number, since it is smaller than the sum of its proper divisors (67492500).

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

32873220 is a wasteful number, since it uses less digits than its factorization.

32873220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 32873220 is about 5733.5172451123. The cubic root of 32873220 is about 320.3421470635.

The spelling of 32873220 in words is "thirty-two million, eight hundred seventy-three thousand, two hundred twenty".