65755872 has 216 divisors, whose sum is σ = 232609104. Its totient is φ = 17252352.

The previous prime is 65755871. The next prime is 65755883. The reversal of 65755872 is 27855756.

65755872 is a `hidden beast` number, since 6 + 575 + 5 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65755871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340608 + ... + 340800.

It is an arithmetic number, because the mean of its divisors is an integer number (1076894).

Almost surely, 2^65755872 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 65755872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116304552).

65755872 is an abundant number, since it is smaller than the sum of its proper divisors (166853232).

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

65755872 is a wasteful number, since it uses less digits than its factorization.

65755872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 65755872 is about 8108.9994450610. Note that the first 3 decimals coincide. The cubic root of 65755872 is about 403.6251137932.

The spelling of 65755872 in words is "sixty-five million, seven hundred fifty-five thousand, eight hundred seventy-two".