73141236736000 has 224 divisors, whose sum is σ = 182621801402352. Its totient is φ = 29244889497600.

The previous prime is 73141236735953. The next prime is 73141236736037. The reversal of 73141236736000 is 63763214137.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23118094864384 + 50023141871616 = 4808128^2 + 7072704^2 .

It is a super-2 number, since 2×73141236736000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2864115232 + ... + 2864140768.

Almost surely, 2^{73141236736000} 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 73141236736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91310900701176).

73141236736000 is an abundant number, since it is smaller than the sum of its proper divisors (109480564666352).

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

73141236736000 is an equidigital number, since it uses as much as digits as its factorization.

73141236736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28375 (or 28341 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 43.

The spelling of 73141236736000 in words is "seventy-three trillion, one hundred forty-one billion, two hundred thirty-six million, seven hundred thirty-six thousand".