65121672 has 128 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 16723200.

The previous prime is 65121659. The next prime is 65121673. The reversal of 65121672 is 27612156.

65121672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (65121673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241954 + ... + 242222.

It is an arithmetic number, because the mean of its divisors is an integer number (1603800).

Almost surely, 2^65121672 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 65121672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

65121672 is an abundant number, since it is smaller than the sum of its proper divisors (140164728).

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

65121672 is a wasteful number, since it uses less digits than its factorization.

65121672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 65121672 is about 8069.7999975216. The cubic root of 65121672 is about 402.3232962767.

The spelling of 65121672 in words is "sixty-five million, one hundred twenty-one thousand, six hundred seventy-two".