31441872 has 160 divisors (see below), whose sum is σ = 103993344. Its totient is φ = 7948800.

The previous prime is 31441849. The next prime is 31441873. The reversal of 31441872 is 27814413.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31441873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173622 + ... + 173802.

Almost surely, 2^31441872 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 31441872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51996672).

31441872 is an abundant number, since it is smaller than the sum of its proper divisors (72551472).

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

31441872 is a wasteful number, since it uses less digits than its factorization.

31441872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 31441872 is about 5607.3052351375. The cubic root of 31441872 is about 315.6235971182.

The spelling of 31441872 in words is "thirty-one million, four hundred forty-one thousand, eight hundred seventy-two".