65865872072 has 192 divisors, whose sum is σ = 172484380800. Its totient is φ = 22870149120.

The previous prime is 65865872027. The next prime is 65865872077. The reversal of 65865872072 is 27027856856.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 65865871999 and 65865872017.

It is not an unprimeable number, because it can be changed into a prime (65865872077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3008108 + ... + 3029924.

It is an arithmetic number, because the mean of its divisors is an integer number (898356150).

Almost surely, 2^65865872072 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 65865872072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86242190400).

65865872072 is an abundant number, since it is smaller than the sum of its proper divisors (106618508728).

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

65865872072 is a wasteful number, since it uses less digits than its factorization.

65865872072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21896 (or 21879 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 65865872072 in words is "sixty-five billion, eight hundred sixty-five million, eight hundred seventy-two thousand, seventy-two".