65812120272 has 200 divisors, whose sum is σ = 194075179584. Its totient is φ = 21527202816.

The previous prime is 65812120271. The next prime is 65812120279. The reversal of 65812120272 is 27202121856.

It is a happy number.

65812120272 is a `hidden beast` number, since 6 + 581 + 2 + 1 + 2 + 0 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65812120271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15081963 + ... + 15086325.

Almost surely, 2^65812120272 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 65812120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97037589792).

65812120272 is an abundant number, since it is smaller than the sum of its proper divisors (128263059312).

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

65812120272 is a wasteful number, since it uses less digits than its factorization.

65812120272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 65812120272 in words is "sixty-five billion, eight hundred twelve million, one hundred twenty thousand, two hundred seventy-two".