7665840072 has 96 divisors (see below), whose sum is σ = 22857120000. Its totient is φ = 2301644160.

The previous prime is 7665840071. The next prime is 7665840121. The reversal of 7665840072 is 2700485667.

7665840072 is a `hidden beast` number, since 7 + 66 + 584 + 0 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (7665840071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41929 + ... + 130727.

It is an arithmetic number, because the mean of its divisors is an integer number (238095000).

Almost surely, 2^7665840072 is an apocalyptic number.

7665840072 is a gapful number since it is divisible by the number (72) 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 7665840072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11428560000).

7665840072 is an abundant number, since it is smaller than the sum of its proper divisors (15191279928).

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

7665840072 is a wasteful number, since it uses less digits than its factorization.

7665840072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88931 (or 88924 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7665840072 is about 87554.7832616814. The cubic root of 7665840072 is about 1971.7563653877.

The spelling of 7665840072 in words is "seven billion, six hundred sixty-five million, eight hundred forty thousand, seventy-two".