4738272 has 96 divisors (see below), whose sum is σ = 15531264. Its totient is φ = 1228800.

The previous prime is 4738259. The next prime is 4738273. The reversal of 4738272 is 2728374.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is an Ulam number.

Its product of digits (18816) is a multiple of the sum of its prime factors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4738273) 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, 7072 + ... + 7712.

It is an arithmetic number, because the mean of its divisors is an integer number (161784).

Almost surely, 2^4738272 is an apocalyptic number.

4738272 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 4738272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7765632).

4738272 is an abundant number, since it is smaller than the sum of its proper divisors (10792992).

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

4738272 is a wasteful number, since it uses less digits than its factorization.

4738272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 4738272 is about 2176.7572211894. The cubic root of 4738272 is about 167.9603080834.

The spelling of 4738272 in words is "four million, seven hundred thirty-eight thousand, two hundred seventy-two".