31782872 has 64 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 13446400.

The previous prime is 31782871. The next prime is 31782899. The reversal of 31782872 is 27828713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31782871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82793 + ... + 83175.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^31782872 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 31782872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

31782872 is an abundant number, since it is smaller than the sum of its proper divisors (37890088).

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

31782872 is a wasteful number, since it uses less digits than its factorization.

31782872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

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

The square root of 31782872 is about 5637.6299985011. The cubic root of 31782872 is about 316.7605193037.

The spelling of 31782872 in words is "thirty-one million, seven hundred eighty-two thousand, eight hundred seventy-two".