31672144 has 40 divisors (see below), whose sum is σ = 71334720. Its totient is φ = 13340928.

The previous prime is 31672141. The next prime is 31672153. The reversal of 31672144 is 44127613.

It is a super-3 number, since 3×31672144³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31672141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4212 + ... + 9004.

It is an arithmetic number, because the mean of its divisors is an integer number (1783368).

Almost surely, 2^31672144 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 31672144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35667360).

31672144 is an abundant number, since it is smaller than the sum of its proper divisors (39662576).

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

31672144 is a wasteful number, since it uses less digits than its factorization.

31672144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4861 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 31672144 is about 5627.8009915064. The cubic root of 31672144 is about 316.3922384530.

Adding to 31672144 its reverse (44127613), we get a palindrome (75799757).

The spelling of 31672144 in words is "thirty-one million, six hundred seventy-two thousand, one hundred forty-four".