31102672 has 40 divisors (see below), whose sum is σ = 63130880. Its totient is φ = 14826240.

The previous prime is 31102663. The next prime is 31102691. The reversal of 31102672 is 27620113.

It is a congruent number.

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, 35779 + ... + 36637.

It is an arithmetic number, because the mean of its divisors is an integer number (1578272).

Almost surely, 2^31102672 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 31102672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31565440).

31102672 is an abundant number, since it is smaller than the sum of its proper divisors (32028208).

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

31102672 is a wasteful number, since it uses less digits than its factorization.

31102672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 31102672 is about 5576.9769588909. The cubic root of 31102672 is about 314.4844914896.

Adding to 31102672 its reverse (27620113), we get a palindrome (58722785).

The spelling of 31102672 in words is "thirty-one million, one hundred two thousand, six hundred seventy-two".