7291200096 has 240 divisors, whose sum is σ = 21915820080. Its totient is φ = 2377589760.

The previous prime is 7291200083. The next prime is 7291200101. The reversal of 7291200096 is 6900021927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7291200096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37011070 + ... + 37011266.

It is an arithmetic number, because the mean of its divisors is an integer number (91315917).

Almost surely, 2^7291200096 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 7291200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957910040).

7291200096 is an abundant number, since it is smaller than the sum of its proper divisors (14624619984).

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

7291200096 is a wasteful number, since it uses less digits than its factorization.

7291200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 7291200096 is about 85388.5243812071. The cubic root of 7291200096 is about 1939.0976155385.

The spelling of 7291200096 in words is "seven billion, two hundred ninety-one million, two hundred thousand, ninety-six".