73129132800 has 270 divisors, whose sum is σ = 270393640748. Its totient is φ = 19500963840.

The previous prime is 73129132789. The next prime is 73129132807. The reversal of 73129132800 is 823192137.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73129132807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 447867 + ... + 588933.

Almost surely, 2^73129132800 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 73129132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135196820374).

73129132800 is an abundant number, since it is smaller than the sum of its proper divisors (197264507948).

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

73129132800 is a wasteful number, since it uses less digits than its factorization.

73129132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141105 (or 141077 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 73129132800 in words is "seventy-three billion, one hundred twenty-nine million, one hundred thirty-two thousand, eight hundred".