73033107000 has 256 divisors, whose sum is σ = 269397273600. Its totient is φ = 16117516800.

The previous prime is 73033106981. The next prime is 73033107031. The reversal of 73033107000 is 70133037.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549039 + ... + 668961.

It is an arithmetic number, because the mean of its divisors is an integer number (1052333100).

Almost surely, 2^73033107000 is an apocalyptic number.

73033107000 is a gapful number since it is divisible by the number (70) 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 73033107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134698636800).

73033107000 is an abundant number, since it is smaller than the sum of its proper divisors (196364166600).

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

73033107000 is a wasteful number, since it uses less digits than its factorization.

73033107000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119983 (or 119969 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 24.

The spelling of 73033107000 in words is "seventy-three billion, thirty-three million, one hundred seven thousand".