7271074726272 has 1536 divisors, whose sum is σ = 27978084288000. Its totient is φ = 1842041585664.

The previous prime is 7271074726243. The next prime is 7271074726301. The reversal of 7271074726272 is 2726274701727.

7271074726272 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 0 + 7 + 4 + 7 + 2 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7271074726243) and next prime (7271074726301).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 16792320168 + ... + 16792320600.

It is an arithmetic number, because the mean of its divisors is an integer number (18214898625).

Almost surely, 2^{7271074726272} is an apocalyptic number.

7271074726272 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 7271074726272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989042144000).

7271074726272 is an abundant number, since it is smaller than the sum of its proper divisors (20707009561728).

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

7271074726272 is a wasteful number, since it uses less digits than its factorization.

7271074726272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 6453888, while the sum is 54.

The spelling of 7271074726272 in words is "seven trillion, two hundred seventy-one billion, seventy-four million, seven hundred twenty-six thousand, two hundred seventy-two".