73942917120 has 1344 divisors, whose sum is σ = 309143278080. Its totient is φ = 16817061888.

The previous prime is 73942917091. The next prime is 73942917133. The reversal of 73942917120 is 2171924937.

73942917120 is a `hidden beast` number, since 7 + 39 + 429 + 171 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3214909429 + ... + 3214909451.

It is an arithmetic number, because the mean of its divisors is an integer number (230017320).

Almost surely, 2^73942917120 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 73942917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154571639040).

73942917120 is an abundant number, since it is smaller than the sum of its proper divisors (235200360960).

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

73942917120 is a wasteful number, since it uses less digits than its factorization.

73942917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 73942917120 in words is "seventy-three billion, nine hundred forty-two million, nine hundred seventeen thousand, one hundred twenty".