7386075034272 has 648 divisors, whose sum is σ = 24671151161748. Its totient is φ = 2087254794240.

The previous prime is 7386075034259. The next prime is 7386075034297. The reversal of 7386075034272 is 2724305706837.

7386075034272 is a `hidden beast` number, since 7 + 3 + 8 + 60 + 7 + 503 + 4 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7284622592016 + 101452442256 = 2699004^2 + 318516^2 .

It is a super-2 number, since 2×7386075034272² (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 107 ways as a sum of consecutive naturals, for example, 9555077278 + ... + 9555078050.

Almost surely, 2^{7386075034272} is an apocalyptic number.

7386075034272 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 7386075034272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12335575580874).

7386075034272 is an abundant number, since it is smaller than the sum of its proper divisors (17285076127476).

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

7386075034272 is a wasteful number, since it uses less digits than its factorization.

7386075034272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 7386075034272 in words is "seven trillion, three hundred eighty-six billion, seventy-five million, thirty-four thousand, two hundred seventy-two".