7305873120 has 576 divisors, whose sum is σ = 30996725760. Its totient is φ = 1525837824.

The previous prime is 7305873119. The next prime is 7305873143. The reversal of 7305873120 is 213785037.

7305873120 is a `hidden beast` number, since 73 + 0 + 587 + 3 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16641861 + ... + 16642299.

It is an arithmetic number, because the mean of its divisors is an integer number (53813760).

Almost surely, 2^7305873120 is an apocalyptic number.

7305873120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7305873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498362880).

7305873120 is an abundant number, since it is smaller than the sum of its proper divisors (23690852640).

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

7305873120 is a wasteful number, since it uses less digits than its factorization.

7305873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7305873120 is about 85474.4003781249. The cubic root of 7305873120 is about 1940.3975095030.

The spelling of 7305873120 in words is "seven billion, three hundred five million, eight hundred seventy-three thousand, one hundred twenty".