73218619188792 has 320 divisors, whose sum is σ = 256070996375040. Its totient is φ = 18989043321600.

The previous prime is 73218619188721. The next prime is 73218619188853. The reversal of 73218619188792 is 29788191681237.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 73218619188792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31871253 + ... + 34091259.

It is an arithmetic number, because the mean of its divisors is an integer number (800221863672).

Almost surely, 2^{73218619188792} is an apocalyptic number.

73218619188792 is a gapful number since it is divisible by the number (72) 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 73218619188792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128035498187520).

73218619188792 is an abundant number, since it is smaller than the sum of its proper divisors (182852377186248).

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

73218619188792 is a wasteful number, since it uses less digits than its factorization.

73218619188792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220704 (or 2220691 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 72.

The spelling of 73218619188792 in words is "seventy-three trillion, two hundred eighteen billion, six hundred nineteen million, one hundred eighty-eight thousand, seven hundred ninety-two".