65072568 has 64 divisors (see below), whose sum is σ = 186825600. Its totient is φ = 18679680.

The previous prime is 65072551. The next prime is 65072569. The reversal of 65072568 is 86527056.

It is a happy number.

It is a super-2 number, since 2×65072568² = 8468878212229248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65072569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471 + ... + 11502.

It is an arithmetic number, because the mean of its divisors is an integer number (2919150).

Almost surely, 2^65072568 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 65072568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93412800).

65072568 is an abundant number, since it is smaller than the sum of its proper divisors (121753032).

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

65072568 is a wasteful number, since it uses less digits than its factorization.

65072568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13012 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 65072568 is about 8066.7569691915. The cubic root of 65072568 is about 402.2221489418. Note that the first 3 decimals are identical.

The spelling of 65072568 in words is "sixty-five million, seventy-two thousand, five hundred sixty-eight".