4536072 has 36 divisors (see below), whose sum is σ = 12334335. Its totient is φ = 1506000.

The previous prime is 4536071. The next prime is 4536073. The reversal of 4536072 is 2706354.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4536072 is a `hidden beast` number, since 4 + 53 + 607 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4536071) and next prime (4536073).

It can be written as a sum of positive squares in only one way, i.e., 2268036 + 2268036 = 1506^2 + 1506^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1506.

It is not an unprimeable number, because it can be changed into a prime (4536071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17947 + ... + 18197.

Almost surely, 2^4536072 is an apocalyptic number.

It is an amenable number.

4536072 is an abundant number, since it is smaller than the sum of its proper divisors (7798263).

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

4536072 is a wasteful number, since it uses less digits than its factorization.

4536072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4536072 is about 2129.8056249339. The cubic root of 4536072 is about 165.5363264272.

The spelling of 4536072 in words is "four million, five hundred thirty-six thousand, seventy-two".