32871872 has 56 divisors (see below), whose sum is σ = 72585072. Its totient is φ = 14643200.

The previous prime is 32871871. The next prime is 32871887. The reversal of 32871872 is 27817823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32871871) 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 7 ways as a sum of consecutive naturals, for example, 36872 + ... + 37752.

It is an arithmetic number, because the mean of its divisors is an integer number (1296162).

Almost surely, 2^32871872 is an apocalyptic number.

32871872 is a gapful number since it is divisible by the number (32) 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 32871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36292536).

32871872 is an abundant number, since it is smaller than the sum of its proper divisors (39713200).

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

32871872 is a wasteful number, since it uses less digits than its factorization.

32871872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 947 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 32871872 is about 5733.3996895385. The cubic root of 32871872 is about 320.3377683513.

The spelling of 32871872 in words is "thirty-two million, eight hundred seventy-one thousand, eight hundred seventy-two".