4872000672 has 576 divisors, whose sum is σ = 18819440640. Its totient is φ = 1157068800.

The previous prime is 4872000671. The next prime is 4872000677. The reversal of 4872000672 is 2760002784.

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 (4872000671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13061478 + ... + 13061850.

It is an arithmetic number, because the mean of its divisors is an integer number (32672640).

Almost surely, 2^4872000672 is an apocalyptic number.

4872000672 is a gapful number since it is divisible by the number (42) 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 4872000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409720320).

4872000672 is an abundant number, since it is smaller than the sum of its proper divisors (13947439968).

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

4872000672 is a wasteful number, since it uses less digits than its factorization.

4872000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4872000672 is about 69799.7182802338. The cubic root of 4872000672 is about 1695.2579115203.

The spelling of 4872000672 in words is "four billion, eight hundred seventy-two million, six hundred seventy-two", and thus it is an aban number.