7271368272 has 160 divisors (see below), whose sum is σ = 23884185600. Its totient is φ = 2074833792.

The previous prime is 7271368259. The next prime is 7271368283. The reversal of 7271368272 is 2728631727.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4132929 + ... + 4134687.

It is an arithmetic number, because the mean of its divisors is an integer number (149276160).

Almost surely, 2^7271368272 is an apocalyptic number.

7271368272 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 7271368272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942092800).

7271368272 is an abundant number, since it is smaller than the sum of its proper divisors (16612817328).

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

7271368272 is a wasteful number, since it uses less digits than its factorization.

7271368272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3138 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 7271368272 is about 85272.3183219502. The cubic root of 7271368272 is about 1937.3379252674.

Adding to 7271368272 its reverse (2728631727), we get a palindrome (9999999999).

The spelling of 7271368272 in words is "seven billion, two hundred seventy-one million, three hundred sixty-eight thousand, two hundred seventy-two".