8672731200 has 504 divisors, whose sum is σ = 35631802752. Its totient is φ = 1959690240.

The previous prime is 8672731163. The next prime is 8672731211. The reversal of 8672731200 is 21372768.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9777157 + ... + 9778043.

Almost surely, 2^8672731200 is an apocalyptic number.

8672731200 is a gapful number since it is divisible by the number (80) 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 8672731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815901376).

8672731200 is an abundant number, since it is smaller than the sum of its proper divisors (26959071552).

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

8672731200 is a wasteful number, since it uses less digits than its factorization.

8672731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 8672731200 is about 93127.4996979947. The cubic root of 8672731200 is about 2054.5590543434.

The spelling of 8672731200 in words is "eight billion, six hundred seventy-two million, seven hundred thirty-one thousand, two hundred".