31520672 has 48 divisors (see below), whose sum is σ = 65499840. Its totient is φ = 14902272.

The previous prime is 31520659. The next prime is 31520701. The reversal of 31520672 is 27602513.

It is an unprimeable number.

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, 82979 + ... + 83357.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 2^31520672 is an apocalyptic number.

31520672 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 31520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32749920).

31520672 is an abundant number, since it is smaller than the sum of its proper divisors (33979168).

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

31520672 is a wasteful number, since it uses less digits than its factorization.

31520672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 31520672 is about 5614.3273862503. The cubic root of 31520672 is about 315.8870503766.

The spelling of 31520672 in words is "thirty-one million, five hundred twenty thousand, six hundred seventy-two".