4812672 has 64 divisors (see below), whose sum is σ = 13023360. Its totient is φ = 1574400.

The previous prime is 4812653. The next prime is 4812707. The reversal of 4812672 is 2762184.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31797 + ... + 31947.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

Almost surely, 2^4812672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511680).

4812672 is an abundant number, since it is smaller than the sum of its proper divisors (8210688).

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

4812672 is a wasteful number, since it uses less digits than its factorization.

4812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 4812672 is about 2193.7802989361. The cubic root of 4812672 is about 168.8348467698.

It can be divided in two parts, 48 and 12672, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 4812672 in words is "four million, eight hundred twelve thousand, six hundred seventy-two".