65393712 has 120 divisors (see below), whose sum is σ = 191505600. Its totient is φ = 20813184.

The previous prime is 65393711. The next prime is 65393717. The reversal of 65393712 is 21739356.

65393712 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 not an unprimeable number, because it can be changed into a prime (65393711) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 365239 + ... + 365417.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 2^65393712 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 65393712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95752800).

65393712 is an abundant number, since it is smaller than the sum of its proper divisors (126111888).

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

65393712 is a wasteful number, since it uses less digits than its factorization.

65393712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 65393712 is about 8086.6378674947. The cubic root of 65393712 is about 402.8827412650.

The spelling of 65393712 in words is "sixty-five million, three hundred ninety-three thousand, seven hundred twelve".