73129000 has 128 divisors (see below), whose sum is σ = 202475520. Its totient is φ = 24192000.

The previous prime is 73128997. The next prime is 73129009. The reversal of 73129000 is 92137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73129009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 216832 + ... + 217168.

It is an arithmetic number, because the mean of its divisors is an integer number (1581840).

Almost surely, 2^73129000 is an apocalyptic number.

73129000 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 73129000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101237760).

73129000 is an abundant number, since it is smaller than the sum of its proper divisors (129346520).

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

73129000 is a wasteful number, since it uses less digits than its factorization.

73129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 73129000 is about 8551.5495671837. The cubic root of 73129000 is about 418.1799550241.

The spelling of 73129000 in words is "seventy-three million, one hundred twenty-nine thousand".