73116192240 has 1120 divisors, whose sum is σ = 327879014400. Its totient is φ = 14731352064.

The previous prime is 73116192229. The next prime is 73116192329. The reversal of 73116192240 is 4229161137.

73116192240 is a `hidden beast` number, since 7 + 3 + 11 + 619 + 2 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 73116192195 and 73116192204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 122063461 + ... + 122064059.

It is an arithmetic number, because the mean of its divisors is an integer number (292749120).

Almost surely, 2^73116192240 is an apocalyptic number.

73116192240 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 73116192240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163939507200).

73116192240 is an abundant number, since it is smaller than the sum of its proper divisors (254762822160).

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

73116192240 is a wasteful number, since it uses less digits than its factorization.

73116192240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

It can be divided in two parts, 73116 and 192240, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 73116192240 in words is "seventy-three billion, one hundred sixteen million, one hundred ninety-two thousand, two hundred forty".