7259210112 has 256 divisors, whose sum is σ = 24250867200. Its totient is φ = 1884579840.

The previous prime is 7259210083. The next prime is 7259210117. The reversal of 7259210112 is 2110129527.

It is a super-2 number, since 2×7259210112² (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 7259210112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7259210117) by changing a digit.

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, 3576714 + ... + 3578742.

It is an arithmetic number, because the mean of its divisors is an integer number (94729950).

Almost surely, 2^7259210112 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 7259210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125433600).

7259210112 is an abundant number, since it is smaller than the sum of its proper divisors (16991657088).

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

7259210112 is a wasteful number, since it uses less digits than its factorization.

7259210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 7259210112 is about 85200.9983040105. The cubic root of 7259210112 is about 1936.2575414959.

Adding to 7259210112 its reverse (2110129527), we get a palindrome (9369339639).

The spelling of 7259210112 in words is "seven billion, two hundred fifty-nine million, two hundred ten thousand, one hundred twelve".