65128672 has 48 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 27808128.

The previous prime is 65128639. The next prime is 65128673. The reversal of 65128672 is 27682156.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65128673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106993 + ... + 107599.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 2^65128672 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 65128672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

65128672 is an abundant number, since it is smaller than the sum of its proper divisors (81958688).

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

65128672 is a wasteful number, since it uses less digits than its factorization.

65128672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1095 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 65128672 is about 8070.2337016966. The cubic root of 65128672 is about 402.3377111511.

The spelling of 65128672 in words is "sixty-five million, one hundred twenty-eight thousand, six hundred seventy-two".