65972960 has 96 divisors (see below), whose sum is σ = 164892672. Its totient is φ = 24906240.

The previous prime is 65972911. The next prime is 65972981. The reversal of 65972960 is 6927956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232979 + ... + 233261.

It is an arithmetic number, because the mean of its divisors is an integer number (1717632).

Almost surely, 2^65972960 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 65972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82446336).

65972960 is an abundant number, since it is smaller than the sum of its proper divisors (98919712).

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

65972960 is a wasteful number, since it uses less digits than its factorization.

65972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 65972960 is about 8122.3740371889. The cubic root of 65972960 is about 404.0688050638.

The spelling of 65972960 in words is "sixty-five million, nine hundred seventy-two thousand, nine hundred sixty".