65724672 has 144 divisors (see below), whose sum is σ = 195733440. Its totient is φ = 19439616.

The previous prime is 65724661. The next prime is 65724689. The reversal of 65724672 is 27642756.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (141120) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 65724672.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 289423 + ... + 289649.

It is an arithmetic number, because the mean of its divisors is an integer number (1359260).

Almost surely, 2^65724672 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 65724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).

65724672 is an abundant number, since it is smaller than the sum of its proper divisors (130008768).

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

65724672 is a wasteful number, since it uses less digits than its factorization.

65724672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 65724672 is about 8107.0754282910. The cubic root of 65724672 is about 403.5612660311.

The spelling of 65724672 in words is "sixty-five million, seven hundred twenty-four thousand, six hundred seventy-two".