7281875520 has 336 divisors, whose sum is σ = 26001585792. Its totient is φ = 1869127680.

The previous prime is 7281875467. The next prime is 7281875567. The reversal of 7281875520 is 255781827.

It is a super-2 number, since 2×7281875520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9800269 + ... + 9801011.

It is an arithmetic number, because the mean of its divisors is an integer number (77385672).

Almost surely, 2^7281875520 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 7281875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000792896).

7281875520 is an abundant number, since it is smaller than the sum of its proper divisors (18719710272).

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

7281875520 is a wasteful number, since it uses less digits than its factorization.

7281875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 7281875520 is about 85333.9060397448. The cubic root of 7281875520 is about 1938.2706379830.

The spelling of 7281875520 in words is "seven billion, two hundred eighty-one million, eight hundred seventy-five thousand, five hundred twenty".