7290288144 has 120 divisors (see below), whose sum is σ = 22085625120. Its totient is φ = 2302147008.

The previous prime is 7290288139. The next prime is 7290288233. The reversal of 7290288144 is 4418820927.

It is a self number, because there is not a number n which added to its sum of digits gives 7290288144.

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 23 ways as a sum of consecutive naturals, for example, 132579 + ... + 179325.

It is an arithmetic number, because the mean of its divisors is an integer number (184046876).

Almost surely, 2^7290288144 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 7290288144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11042812560).

7290288144 is an abundant number, since it is smaller than the sum of its proper divisors (14795336976).

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

7290288144 is a wasteful number, since it uses less digits than its factorization.

7290288144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46802 (or 46771 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7290288144 is about 85383.1841992321. The cubic root of 7290288144 is about 1939.0167674999.

The spelling of 7290288144 in words is "seven billion, two hundred ninety million, two hundred eighty-eight thousand, one hundred forty-four".