7873272720 has 240 divisors, whose sum is σ = 27070767360. Its totient is φ = 2050154496.

The previous prime is 7873272691. The next prime is 7873272733. The reversal of 7873272720 is 272723787.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5516647 + ... + 5518073.

It is an arithmetic number, because the mean of its divisors is an integer number (112794864).

Almost surely, 2^7873272720 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 7873272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13535383680).

7873272720 is an abundant number, since it is smaller than the sum of its proper divisors (19197494640).

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

7873272720 is a wasteful number, since it uses less digits than its factorization.

7873272720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The square root of 7873272720 is about 88731.4640925078. The cubic root of 7873272720 is about 1989.3831341388.

The spelling of 7873272720 in words is "seven billion, eight hundred seventy-three million, two hundred seventy-two thousand, seven hundred twenty".