65712375057672 has 144 divisors (see below), whose sum is σ = 207089846486640. Its totient is φ = 18769310949312.

The previous prime is 65712375057649. The next prime is 65712375057727. The reversal of 65712375057672 is 27675057321756.

65712375057672 is a `hidden beast` number, since 6 + 5 + 7 + 1 + 2 + 3 + 7 + 50 + 576 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8920963 + ... + 14526125.

It is an arithmetic number, because the mean of its divisors is an integer number (1438123933935).

Almost surely, 2^{65712375057672} 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 65712375057672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103544923243320).

65712375057672 is an abundant number, since it is smaller than the sum of its proper divisors (141377471428968).

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

65712375057672 is a wasteful number, since it uses less digits than its factorization.

65712375057672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608512 (or 5608498 counting only the distinct ones).

The product of its (nonzero) digits is 129654000, while the sum is 63.

The spelling of 65712375057672 in words is "sixty-five trillion, seven hundred twelve billion, three hundred seventy-five million, fifty-seven thousand, six hundred seventy-two".