4535872 has 56 divisors (see below), whose sum is σ = 10424160. Its totient is φ = 1935360.

The previous prime is 4535863. The next prime is 4535873. The reversal of 4535872 is 2785354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 4⁵ + 5² + 3⁵ + 5⁷ + 8⁶ + 7 + 2²² .

It is not an unprimeable number, because it can be changed into a prime (4535873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11779 + ... + 12157.

Almost surely, 2^4535872 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 4535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212080).

4535872 is an abundant number, since it is smaller than the sum of its proper divisors (5888288).

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

4535872 is a wasteful number, since it uses less digits than its factorization.

4535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 4535872 is about 2129.7586717748. The cubic root of 4535872 is about 165.5338935034.

The spelling of 4535872 in words is "four million, five hundred thirty-five thousand, eight hundred seventy-two".