65560672 has 48 divisors (see below), whose sum is σ = 135590112. Its totient is φ = 31144960.

The previous prime is 65560657. The next prime is 65560673. The reversal of 65560672 is 27606556.

It is a super-3 number, since 3×65560672³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65560673) 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, 206658 + ... + 206974.

It is an arithmetic number, because the mean of its divisors is an integer number (2824794).

Almost surely, 2^65560672 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 65560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67795056).

65560672 is an abundant number, since it is smaller than the sum of its proper divisors (70029440).

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

65560672 is a wasteful number, since it uses less digits than its factorization.

65560672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 65560672 is about 8096.9544891891. The cubic root of 65560672 is about 403.2253233234.

The spelling of 65560672 in words is "sixty-five million, five hundred sixty thousand, six hundred seventy-two".