65976672 has 48 divisors (see below), whose sum is σ = 174191472. Its totient is φ = 21864960.

The previous prime is 65976671. The next prime is 65976689. The reversal of 65976672 is 27667956.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65976671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15478 + ... + 19274.

It is an arithmetic number, because the mean of its divisors is an integer number (3628989).

Almost surely, 2^65976672 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 65976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87095736).

65976672 is an abundant number, since it is smaller than the sum of its proper divisors (108214800).

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

65976672 is a wasteful number, since it uses less digits than its factorization.

65976672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3983 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 65976672 is about 8122.6025385956. The cubic root of 65976672 is about 404.0763832963.

The spelling of 65976672 in words is "sixty-five million, nine hundred seventy-six thousand, six hundred seventy-two".