65872512 has 96 divisors (see below), whose sum is σ = 191156160. Its totient is φ = 21772800.

The previous prime is 65872493. The next prime is 65872519. The reversal of 65872512 is 21527856.

It is a happy number.

65872512 is a `hidden beast` number, since 65 + 87 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (65872519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242937 + ... + 243207.

It is an arithmetic number, because the mean of its divisors is an integer number (1991210).

Almost surely, 2^65872512 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 65872512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95578080).

65872512 is an abundant number, since it is smaller than the sum of its proper divisors (125283648).

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

65872512 is a wasteful number, since it uses less digits than its factorization.

65872512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 487 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 65872512 is about 8116.1882679001. The cubic root of 65872512 is about 403.8636274679.

The spelling of 65872512 in words is "sixty-five million, eight hundred seventy-two thousand, five hundred twelve".