7720095382272 has 1728 divisors, whose sum is σ = 29302754697216. Its totient is φ = 1900519096320.

The previous prime is 7720095382261. The next prime is 7720095382283. The reversal of 7720095382272 is 2722835900277.

7720095382272 is a `hidden beast` number, since 7 + 7 + 200 + 95 + 3 + 82 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (7720095382261) and next prime (7720095382283).

It is a super-2 number, since 2×7720095382272² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25146890343 + ... + 25146890649.

It is an arithmetic number, because the mean of its divisors is an integer number (16957612672).

Almost surely, 2^{7720095382272} is an apocalyptic number.

7720095382272 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 7720095382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651377348608).

7720095382272 is an abundant number, since it is smaller than the sum of its proper divisors (21582659314944).

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

7720095382272 is a wasteful number, since it uses less digits than its factorization.

7720095382272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 7720095382272 in words is "seven trillion, seven hundred twenty billion, ninety-five million, three hundred eighty-two thousand, two hundred seventy-two".