7271612000 has 96 divisors (see below), whose sum is σ = 17981701920. Its totient is φ = 2889868800.

The previous prime is 7271611993. The next prime is 7271612009. The reversal of 7271612000 is 2161727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7271612009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622211 + ... + 633789.

It is an arithmetic number, because the mean of its divisors is an integer number (187309395).

Almost surely, 2^7271612000 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 7271612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990850960).

7271612000 is an abundant number, since it is smaller than the sum of its proper divisors (10710089920).

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

7271612000 is a wasteful number, since it uses less digits than its factorization.

7271612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11761 (or 11743 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 7271612000 is about 85273.7474255705. The cubic root of 7271612000 is about 1937.3595708140.

Adding to 7271612000 its reverse (2161727), we get a palindrome (7273773727).

The spelling of 7271612000 in words is "seven billion, two hundred seventy-one million, six hundred twelve thousand".