4573632 has 112 divisors (see below), whose sum is σ = 14337792. Its totient is φ = 1259520.

The previous prime is 4573631. The next prime is 4573633. The reversal of 4573632 is 2363754.

It is an interprime number because it is at equal distance from previous prime (4573631) and next prime (4573633).

It is a tau number, because it is divible by the number of its divisors (112).

It is a d-powerful number, because it can be written as 4⁸ + 5⁹ + 7 + 3⁶ + 6⁷ + 3¹¹ + 2²¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 4573632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4573631) 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, 55063 + ... + 55145.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 2^4573632 is an apocalyptic number.

4573632 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 4573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896).

4573632 is an abundant number, since it is smaller than the sum of its proper divisors (9764160).

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

4573632 is a wasteful number, since it uses less digits than its factorization.

4573632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its digits is 15120, while the sum is 30.

The square root of 4573632 is about 2138.6051528976. The cubic root of 4573632 is about 165.9919674828.

The spelling of 4573632 in words is "four million, five hundred seventy-three thousand, six hundred thirty-two".