73171328832 has 224 divisors, whose sum is σ = 246558816000. Its totient is φ = 20844988416.

The previous prime is 73171328827. The next prime is 73171328833. The reversal of 73171328832 is 23882317137.

It is a happy number.

73171328832 is a `hidden beast` number, since 7 + 317 + 1 + 328 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73171328833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4212838 + ... + 4230170.

It is an arithmetic number, because the mean of its divisors is an integer number (1100709000).

Almost surely, 2^73171328832 is an apocalyptic number.

73171328832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73171328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123279408000).

73171328832 is an abundant number, since it is smaller than the sum of its proper divisors (173387487168).

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

73171328832 is a wasteful number, since it uses less digits than its factorization.

73171328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17710 (or 17694 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 73171328832 in words is "seventy-three billion, one hundred seventy-one million, three hundred twenty-eight thousand, eight hundred thirty-two".