65856672 has 96 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 18814464.

The previous prime is 65856653. The next prime is 65856697. The reversal of 65856672 is 27665856.

65856672 is a `hidden beast` number, since 6 + 585 + 6 + 67 + 2 = 666.

65856672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 604 + ... + 11492.

It is an arithmetic number, because the mean of its divisors is an integer number (2286900).

Almost surely, 2^65856672 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 65856672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

65856672 is an abundant number, since it is smaller than the sum of its proper divisors (153685728).

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

65856672 is a wasteful number, since it uses less digits than its factorization.

65856672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10915 (or 10901 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 65856672 is about 8115.2123816940. The cubic root of 65856672 is about 403.8312532524.

The spelling of 65856672 in words is "sixty-five million, eight hundred fifty-six thousand, six hundred seventy-two".