7112165760 has 576 divisors, whose sum is σ = 28950929280. Its totient is φ = 1604026368.

The previous prime is 7112165719. The next prime is 7112165761. The reversal of 7112165760 is 675612117.

7112165760 is a `hidden beast` number, since 71 + 1 + 2 + 16 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (7112165761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31893009 + ... + 31893231.

It is an arithmetic number, because the mean of its divisors is an integer number (50262030).

Almost surely, 2^7112165760 is an apocalyptic number.

7112165760 is a gapful number since it is divisible by the number (70) 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 7112165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14475464640).

7112165760 is an abundant number, since it is smaller than the sum of its proper divisors (21838763520).

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

7112165760 is a wasteful number, since it uses less digits than its factorization.

7112165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 7112165760 is about 84333.6573379810. The cubic root of 7112165760 is about 1923.0944890588.

Adding to 7112165760 its reverse (675612117), we get a palindrome (7787777877).

The spelling of 7112165760 in words is "seven billion, one hundred twelve million, one hundred sixty-five thousand, seven hundred sixty".