8305722952272 has 120 divisors (see below), whose sum is σ = 23942985212328. Its totient is φ = 2686124851200.

The previous prime is 8305722952223. The next prime is 8305722952279. The reversal of 8305722952272 is 2722592275038.

8305722952272 is a `hidden beast` number, since 8 + 30 + 57 + 2 + 295 + 2 + 272 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2593890629136 + 5711832323136 = 1610556^2 + 2389944^2 .

It is a hoax number, since the sum of its digits (54) 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 (8305722952279) 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, 2817553 + ... + 4954800.

Almost surely, 2^{8305722952272} is an apocalyptic number.

8305722952272 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

8305722952272 is an abundant number, since it is smaller than the sum of its proper divisors (15637262260056).

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

8305722952272 is a wasteful number, since it uses less digits than its factorization.

8305722952272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772589 (or 7772580 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 8305722952272 in words is "eight trillion, three hundred five billion, seven hundred twenty-two million, nine hundred fifty-two thousand, two hundred seventy-two".