8072727200 has 72 divisors (see below), whose sum is σ = 19929154140. Its totient is φ = 3192780800.

The previous prime is 8072727167. The next prime is 8072727203. The reversal of 8072727200 is 27272708.

It can be written as a sum of positive squares in 6 ways, for example, as 3905250064 + 4167477136 = 62492^2 + 64556^2 .

It is not an unprimeable number, because it can be changed into a prime (8072727203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14510 + ... + 127890.

Almost surely, 2^8072727200 is an apocalyptic number.

8072727200 is a gapful number since it is divisible by the number (80) 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 8072727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9964577070).

8072727200 is an abundant number, since it is smaller than the sum of its proper divisors (11856426940).

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

8072727200 is a wasteful number, since it uses less digits than its factorization.

8072727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113490 (or 113477 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 8072727200 is about 89848.3566905928. The cubic root of 8072727200 is about 2006.0423267600.

Adding to 8072727200 its reverse (27272708), we get a palindrome (8099999908).

The spelling of 8072727200 in words is "eight billion, seventy-two million, seven hundred twenty-seven thousand, two hundred".