7291191072 has 192 divisors, whose sum is σ = 21863374848. Its totient is φ = 2107392000.

The previous prime is 7291191071. The next prime is 7291191073. The reversal of 7291191072 is 2701911927.

It is an interprime number because it is at equal distance from previous prime (7291191071) and next prime (7291191073).

It is a super-2 number, since 2×7291191072² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7291191072.

It is not an unprimeable number, because it can be changed into a prime (7291191071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2322688 + ... + 2325824.

It is an arithmetic number, because the mean of its divisors is an integer number (113871744).

Almost surely, 2^7291191072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7291191072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10931687424).

7291191072 is an abundant number, since it is smaller than the sum of its proper divisors (14572183776).

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

7291191072 is a wasteful number, since it uses less digits than its factorization.

7291191072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 39.

The square root of 7291191072 is about 85388.4715403666. The cubic root of 7291191072 is about 1939.0968155594.

The spelling of 7291191072 in words is "seven billion, two hundred ninety-one million, one hundred ninety-one thousand, seventy-two".