206573716272 has 480 divisors, whose sum is σ = 690470092800. Its totient is φ = 52615180800.

The previous prime is 206573716267. The next prime is 206573716273. The reversal of 206573716272 is 272617375602.

206573716272 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 (48).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (206573716273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431260129 + ... + 431260607.

It is an arithmetic number, because the mean of its divisors is an integer number (1438479360).

Almost surely, 2^206573716272 is an apocalyptic number.

206573716272 is a gapful number since it is divisible by the number (22) 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 206573716272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345235046400).

206573716272 is an abundant number, since it is smaller than the sum of its proper divisors (483896376528).

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

206573716272 is a wasteful number, since it uses less digits than its factorization.

206573716272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 206573716272 in words is "two hundred six billion, five hundred seventy-three million, seven hundred sixteen thousand, two hundred seventy-two".