31239072 has 72 divisors (see below), whose sum is σ = 91728000. Its totient is φ = 10074240.

The previous prime is 31239053. The next prime is 31239107. The reversal of 31239072 is 27093213.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 7179 + ... + 10677.

It is an arithmetic number, because the mean of its divisors is an integer number (1274000).

Almost surely, 2^31239072 is an apocalyptic number.

31239072 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 31239072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864000).

31239072 is an abundant number, since it is smaller than the sum of its proper divisors (60488928).

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

31239072 is a wasteful number, since it uses less digits than its factorization.

31239072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 31239072 is about 5589.1924282494. The cubic root of 31239072 is about 314.9435424138.

The spelling of 31239072 in words is "thirty-one million, two hundred thirty-nine thousand, seventy-two".