73106718720 has 384 divisors, whose sum is σ = 270582923520. Its totient is φ = 16508780544.

The previous prime is 73106718691. The next prime is 73106718833. The reversal of 73106718720 is 2781760137.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880803799 + ... + 880803881.

It is an arithmetic number, because the mean of its divisors is an integer number (704643030).

Almost surely, 2^73106718720 is an apocalyptic number.

73106718720 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 73106718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135291461760).

73106718720 is an abundant number, since it is smaller than the sum of its proper divisors (197476204800).

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

73106718720 is an frugal number, since it uses more digits than its factorization.

73106718720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 73106718720 in words is "seventy-three billion, one hundred six million, seven hundred eighteen thousand, seven hundred twenty".