6872733000 has 576 divisors, whose sum is σ = 27640828800. Its totient is φ = 1508371200.

The previous prime is 6872732981. The next prime is 6872733001. The reversal of 6872733000 is 3372786.

6872733000 is a `hidden beast` number, since 6 + 87 + 273 + 300 + 0 = 666.

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 (6872733001) 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, 116486971 + ... + 116487029.

It is an arithmetic number, because the mean of its divisors is an integer number (47987550).

Almost surely, 2^6872733000 is an apocalyptic number.

6872733000 is a gapful number since it is divisible by the number (60) 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 6872733000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820414400).

6872733000 is an abundant number, since it is smaller than the sum of its proper divisors (20768095800).

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

6872733000 is a wasteful number, since it uses less digits than its factorization.

6872733000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6872733000 is about 82901.9481073877. The cubic root of 6872733000 is about 1901.2672063561.

The spelling of 6872733000 in words is "six billion, eight hundred seventy-two million, seven hundred thirty-three thousand".