4678272 has 96 divisors (see below), whose sum is σ = 14002560. Its totient is φ = 1497600.

The previous prime is 4678259. The next prime is 4678283. The reversal of 4678272 is 2728764.

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 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, 35647 + ... + 35777.

It is an arithmetic number, because the mean of its divisors is an integer number (145860).

Almost surely, 2^4678272 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 4678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001280).

4678272 is an abundant number, since it is smaller than the sum of its proper divisors (9324288).

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

4678272 is a wasteful number, since it uses less digits than its factorization.

4678272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

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

The square root of 4678272 is about 2162.9313442641. The cubic root of 4678272 is about 167.2483426676.

It can be divided in two parts, 4678 and 272, that added together give a triangular number (4950 = T₉₉).

The spelling of 4678272 in words is "four million, six hundred seventy-eight thousand, two hundred seventy-two".