4728672 has 96 divisors (see below), whose sum is σ = 14888160. Its totient is φ = 1451520.

The previous prime is 4728649. The next prime is 4728677. The reversal of 4728672 is 2768274.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4728677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11022 + ... + 11442.

It is an arithmetic number, because the mean of its divisors is an integer number (155085).

Almost surely, 2^4728672 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 4728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7444080).

4728672 is an abundant number, since it is smaller than the sum of its proper divisors (10159488).

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

4728672 is a wasteful number, since it uses less digits than its factorization.

4728672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

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

The square root of 4728672 is about 2174.5509881353. The cubic root of 4728672 is about 167.8467991125.

The spelling of 4728672 in words is "four million, seven hundred twenty-eight thousand, six hundred seventy-two".