9712144 has 40 divisors (see below), whose sum is σ = 20670552. Its totient is φ = 4392960.

The previous prime is 9712133. The next prime is 9712147. The reversal of 9712144 is 4412179.

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 9535744 = 420^2 + 3088^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9712147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10584 + ... + 11464.

Almost surely, 2^9712144 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 9712144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10335276).

9712144 is an abundant number, since it is smaller than the sum of its proper divisors (10958408).

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

9712144 is a wasteful number, since it uses less digits than its factorization.

9712144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 9712144 is about 3116.4312923599. The cubic root of 9712144 is about 213.3560869828.

The spelling of 9712144 in words is "nine million, seven hundred twelve thousand, one hundred forty-four".