32972220 has 144 divisors (see below), whose sum is σ = 109025280. Its totient is φ = 8035200.

The previous prime is 32972207. The next prime is 32972221. The reversal of 32972220 is 2227923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32972221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105865 + ... + 106175.

It is an arithmetic number, because the mean of its divisors is an integer number (757120).

Almost surely, 2^32972220 is an apocalyptic number.

32972220 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 32972220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54512640).

32972220 is an abundant number, since it is smaller than the sum of its proper divisors (76053060).

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

32972220 is a wasteful number, since it uses less digits than its factorization.

32972220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

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

The square root of 32972220 is about 5742.1441988163. The cubic root of 32972220 is about 320.6634023745.

The spelling of 32972220 in words is "thirty-two million, nine hundred seventy-two thousand, two hundred twenty".