272006568 has 96 divisors (see below), whose sum is σ = 751196160. Its totient is φ = 88905600.

The previous prime is 272006563. The next prime is 272006591. The reversal of 272006568 is 865600272.

272006568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (272006561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380646 + ... + 1380842.

It is an arithmetic number, because the mean of its divisors is an integer number (7824960).

Almost surely, 2^272006568 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 272006568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375598080).

272006568 is an abundant number, since it is smaller than the sum of its proper divisors (479189592).

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

272006568 is a wasteful number, since it uses less digits than its factorization.

272006568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 272006568 is about 16492.6216230168. The cubic root of 272006568 is about 647.9275753533.

The spelling of 272006568 in words is "two hundred seventy-two million, six thousand, five hundred sixty-eight".