73107373416 has 256 divisors, whose sum is σ = 232720128000. Its totient is φ = 18587320320.

The previous prime is 73107373411. The next prime is 73107373447. The reversal of 73107373416 is 61437370137.

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

It is not an unprimeable number, because it can be changed into a prime (73107373411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28019920 + ... + 28022528.

It is an arithmetic number, because the mean of its divisors is an integer number (909063000).

Almost surely, 2^73107373416 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 73107373416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116360064000).

73107373416 is an abundant number, since it is smaller than the sum of its proper divisors (159612754584).

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

73107373416 is a wasteful number, since it uses less digits than its factorization.

73107373416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 42.

The spelling of 73107373416 in words is "seventy-three billion, one hundred seven million, three hundred seventy-three thousand, four hundred sixteen".