73193102717952 has 352 divisors, whose sum is σ = 232782505961472. Its totient is φ = 19991648894976.

The previous prime is 73193102717873. The next prime is 73193102717989. The reversal of 73193102717952 is 25971720139137.

It is a junction number, because it is equal to n+sod(n) for n = 73193102717892 and 73193102717901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883794498 + ... + 883877310.

Almost surely, 2^{73193102717952} 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 73193102717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116391252980736).

73193102717952 is an abundant number, since it is smaller than the sum of its proper divisors (159589403243520).

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

73193102717952 is a wasteful number, since it uses less digits than its factorization.

73193102717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84653 (or 84635 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 57.

The spelling of 73193102717952 in words is "seventy-three trillion, one hundred ninety-three billion, one hundred two million, seven hundred seventeen thousand, nine hundred fifty-two".