4572 has 18 divisors (see below), whose sum is σ = 11648. Its totient is φ = 1512.

The previous prime is 4567. The next prime is 4583. The reversal of 4572 is 2754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as **4**^{6} + **7**^{3} + **5** + **2**^{7} .

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 4572.

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 5 ways as a sum of consecutive naturals, for example, 28 + ... + 99.

2^{4572} is an apocalyptic number.

It is an amenable number.

4572 is an abundant number, since it is smaller than the sum of its proper divisors (7076).

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

4572 is a wasteful number, since it uses less digits than its factorization.

4572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 4572 is about 67.6165660175. The cubic root of 4572 is about 16.5972221606.

Subtracting from 4572 its sum of digits (18), we obtain a palindrome (4554).

It can be divided in two parts, 45 and 72, that multiplied together give a triangular number (3240 = T_{80}).

The spelling of 4572 in words is "four thousand, five hundred seventy-two".

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