65340672 has 72 divisors (see below), whose sum is σ = 175375200. Its totient is φ = 21596160.

The previous prime is 65340659. The next prime is 65340689. The reversal of 65340672 is 27604356.

It is a super-3 number, since 3×65340672³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114147 + ... + 114717.

Almost surely, 2^65340672 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 65340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87687600).

65340672 is an abundant number, since it is smaller than the sum of its proper divisors (110034528).

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

65340672 is a wasteful number, since it uses less digits than its factorization.

65340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 65340672 is about 8083.3577181763. The cubic root of 65340672 is about 402.7737874635.

The spelling of 65340672 in words is "sixty-five million, three hundred forty thousand, six hundred seventy-two".