68000205307272 has 256 divisors, whose sum is σ = 207494900121600. Its totient is φ = 18151313725440.

The previous prime is 68000205307217. The next prime is 68000205307277. The reversal of 68000205307272 is 27270350200086.

It is a super-2 number, since 2×68000205307272² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (68000205307277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1482658213 + ... + 1482704075.

It is an arithmetic number, because the mean of its divisors is an integer number (810526953600).

Almost surely, 2^{68000205307272} is an apocalyptic number.

68000205307272 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68000205307272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103747450060800).

68000205307272 is an abundant number, since it is smaller than the sum of its proper divisors (139494694814328).

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

68000205307272 is a wasteful number, since it uses less digits than its factorization.

68000205307272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55756 (or 55752 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 68000205307272 in words is "sixty-eight trillion, two hundred five million, three hundred seven thousand, two hundred seventy-two".