31873872 has 80 divisors (see below), whose sum is σ = 85833792. Its totient is φ = 10183680.

The previous prime is 31873867. The next prime is 31873873. The reversal of 31873872 is 27837813.

It is a self number, because there is not a number n which added to its sum of digits gives 31873872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31873873) 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 15 ways as a sum of consecutive naturals, for example, 232588 + ... + 232724.

Almost surely, 2^31873872 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 31873872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42916896).

31873872 is an abundant number, since it is smaller than the sum of its proper divisors (53959920).

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

31873872 is a wasteful number, since it uses less digits than its factorization.

31873872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 31873872 is about 5645.6949970752. The cubic root of 31873872 is about 317.0625450864.

The spelling of 31873872 in words is "thirty-one million, eight hundred seventy-three thousand, eight hundred seventy-two".