8072712720 has 280 divisors, whose sum is σ = 28360071000. Its totient is φ = 2135973888.

The previous prime is 8072712677. The next prime is 8072712727. The reversal of 8072712720 is 272172708.

It can be written as a sum of positive squares in 4 ways, for example, as 382124304 + 7690588416 = 19548^2 + 87696^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072712727) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8689216 + ... + 8690144.

Almost surely, 2^8072712720 is an apocalyptic number.

8072712720 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 8072712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14180035500).

8072712720 is an abundant number, since it is smaller than the sum of its proper divisors (20287358280).

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

8072712720 is a wasteful number, since it uses less digits than its factorization.

8072712720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 8072712720 is about 89848.2761103406. The cubic root of 8072712720 is about 2006.0411273508.

The spelling of 8072712720 in words is "eight billion, seventy-two million, seven hundred twelve thousand, seven hundred twenty".