31788672 has 64 divisors (see below), whose sum is σ = 88903200. Its totient is φ = 10036224.

The previous prime is 31788667. The next prime is 31788683. The reversal of 31788672 is 27688713.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5118 + ... + 9474.

Almost surely, 2^31788672 is an apocalyptic number.

31788672 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 31788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44451600).

31788672 is an abundant number, since it is smaller than the sum of its proper divisors (57114528).

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

31788672 is a wasteful number, since it uses less digits than its factorization.

31788672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4381 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 31788672 is about 5638.1443755903. The cubic root of 31788672 is about 316.7797864871.

The spelling of 31788672 in words is "thirty-one million, seven hundred eighty-eight thousand, six hundred seventy-two".