4872672 has 72 divisors (see below), whose sum is σ = 15842736. Its totient is φ = 1391616.

The previous prime is 4872649. The next prime is 4872691. The reversal of 4872672 is 2762784.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808 + ... + 3224.

It is an arithmetic number, because the mean of its divisors is an integer number (220038).

Almost surely, 2^4872672 is an apocalyptic number.

4872672 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 4872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921368).

4872672 is an abundant number, since it is smaller than the sum of its proper divisors (10970064).

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

4872672 is a wasteful number, since it uses less digits than its factorization.

4872672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2429 counting only the distinct ones).

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

The square root of 4872672 is about 2207.4129654417. The cubic root of 4872672 is about 169.5335772883.

The spelling of 4872672 in words is "four million, eight hundred seventy-two thousand, six hundred seventy-two".