65724516 has 144 divisors (see below), whose sum is σ = 206938368. Its totient is φ = 17280000.

The previous prime is 65724497. The next prime is 65724523. The reversal of 65724516 is 61542756.

It is a happy number.

65724516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87141 + ... + 87891.

It is an arithmetic number, because the mean of its divisors is an integer number (1437072).

Almost surely, 2^65724516 is an apocalyptic number.

65724516 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65724516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103469184).

65724516 is an abundant number, since it is smaller than the sum of its proper divisors (141213852).

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

65724516 is a wasteful number, since it uses less digits than its factorization.

65724516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 797 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 65724516 is about 8107.0658070599. The cubic root of 65724516 is about 403.5609467415.

The spelling of 65724516 in words is "sixty-five million, seven hundred twenty-four thousand, five hundred sixteen".