73040517744 has 120 divisors (see below), whose sum is σ = 199722498192. Its totient is φ = 22998159360.

The previous prime is 73040517721. The next prime is 73040517751. The reversal of 73040517744 is 44771504037.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73040517696 and 73040517705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6110814 + ... + 6122754.

Almost surely, 2^73040517744 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 73040517744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99861249096).

73040517744 is an abundant number, since it is smaller than the sum of its proper divisors (126681980448).

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

73040517744 is a wasteful number, since it uses less digits than its factorization.

73040517744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12343 (or 12318 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 73040517744 in words is "seventy-three billion, forty million, five hundred seventeen thousand, seven hundred forty-four".