65872144 has 60 divisors (see below), whose sum is σ = 146431476. Its totient is φ = 28594176.

The previous prime is 65872141. The next prime is 65872153. The reversal of 65872144 is 44127856.

It can be written as a sum of positive squares in 6 ways, for example, as 262144 + 65610000 = 512^2 + 8100^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65872141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45252 + ... + 46684.

Almost surely, 2^65872144 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 65872144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73215738).

65872144 is an abundant number, since it is smaller than the sum of its proper divisors (80559332).

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

65872144 is a wasteful number, since it uses less digits than its factorization.

65872144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1465 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 65872144 is about 8116.1655971277. The cubic root of 65872144 is about 403.8628753986.

The spelling of 65872144 in words is "sixty-five million, eight hundred seventy-two thousand, one hundred forty-four".