4506272 has 24 divisors (see below), whose sum is σ = 9042516. Its totient is φ = 2209792.

The previous prime is 4506259. The next prime is 4506283. The reversal of 4506272 is 2726054.

It can be written as a sum of positive squares in 2 ways, for example, as 4343056 + 163216 = 2084^2 + 404^2 .

It is a d-powerful number, because it can be written as 4² + 5⁶ + 0 + 6⁷ + 2¹⁴ + 7 + 2²² .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 368 + ... + 3024.

Almost surely, 2^4506272 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 4506272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521258).

4506272 is an abundant number, since it is smaller than the sum of its proper divisors (4536244).

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

4506272 is a wasteful number, since it uses less digits than its factorization.

4506272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4506272 is about 2122.7981533815. The cubic root of 4506272 is about 165.1730293839.

It can be divided in two parts, 450 and 6272, that multiplied together give a square (2822400 = 1680²).

The spelling of 4506272 in words is "four million, five hundred six thousand, two hundred seventy-two".