7072765128 has 320 divisors, whose sum is σ = 23495915520. Its totient is φ = 1959552000.

The previous prime is 7072765127. The next prime is 7072765171. The reversal of 7072765128 is 8215672707.

It is not an unprimeable number, because it can be changed into a prime (7072765127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11768028 + ... + 11768628.

It is an arithmetic number, because the mean of its divisors is an integer number (73424736).

Almost surely, 2^7072765128 is an apocalyptic number.

7072765128 is a gapful number since it is divisible by the number (78) 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 7072765128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11747957760).

7072765128 is an abundant number, since it is smaller than the sum of its proper divisors (16423150392).

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

7072765128 is a wasteful number, since it uses less digits than its factorization.

7072765128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 7072765128 is about 84099.7332219312. The cubic root of 7072765128 is about 1919.5366655409.

The spelling of 7072765128 in words is "seven billion, seventy-two million, seven hundred sixty-five thousand, one hundred twenty-eight".