73742034016 has 96 divisors (see below), whose sum is σ = 174752847360. Its totient is φ = 29946909696.

The previous prime is 73742034013. The next prime is 73742034073. The reversal of 73742034016 is 61043024737.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73742034013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484380 + ... + 618148.

It is an arithmetic number, because the mean of its divisors is an integer number (1820342160).

Almost surely, 2^73742034016 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 73742034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87376423680).

73742034016 is an abundant number, since it is smaller than the sum of its proper divisors (101010813344).

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

73742034016 is a wasteful number, since it uses less digits than its factorization.

73742034016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133916 (or 133908 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The spelling of 73742034016 in words is "seventy-three billion, seven hundred forty-two million, thirty-four thousand, sixteen".