32872840 has 128 divisors (see below), whose sum is σ = 99429120. Its totient is φ = 9446400.

The previous prime is 32872823. The next prime is 32872843. The reversal of 32872840 is 4827823.

It is a junction number, because it is equal to n+sod(n) for n = 32872796 and 32872805.

It is not an unprimeable number, because it can be changed into a prime (32872843) 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 31 ways as a sum of consecutive naturals, for example, 39630 + ... + 40450.

It is an arithmetic number, because the mean of its divisors is an integer number (776790).

Almost surely, 2^32872840 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 32872840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49714560).

32872840 is an abundant number, since it is smaller than the sum of its proper divisors (66556280).

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

32872840 is a wasteful number, since it uses less digits than its factorization.

32872840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 32872840 is about 5733.4841065446. The cubic root of 32872840 is about 320.3409127206.

The spelling of 32872840 in words is "thirty-two million, eight hundred seventy-two thousand, eight hundred forty".