73161609619200 has 1296 divisors, whose sum is σ = 261766698046560. Its totient is φ = 17970049843200.

The previous prime is 73161609619177. The next prime is 73161609619201. The reversal of 73161609619200 is 291690616137.

It is a super-2 number, since 2×73161609619200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73161609619201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39061189464 + ... + 39061191336.

Almost surely, 2^{73161609619200} 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 73161609619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130883349023280).

73161609619200 is an abundant number, since it is smaller than the sum of its proper divisors (188605088427360).

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

73161609619200 is a wasteful number, since it uses less digits than its factorization.

73161609619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 73161609619200 in words is "seventy-three trillion, one hundred sixty-one billion, six hundred nine million, six hundred nineteen thousand, two hundred".