4652672 has 32 divisors (see below), whose sum is σ = 9367680. Its totient is φ = 2301696.

The previous prime is 4652623. The next prime is 4652677. The reversal of 4652672 is 2762564.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4652677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20753 + ... + 20975.

It is an arithmetic number, because the mean of its divisors is an integer number (292740).

Almost surely, 2^4652672 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 4652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683840).

4652672 is an abundant number, since it is smaller than the sum of its proper divisors (4715008).

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

4652672 is a wasteful number, since it uses less digits than its factorization.

4652672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 4652672 is about 2157.0053314723. The cubic root of 4652672 is about 166.9427176339.

The spelling of 4652672 in words is "four million, six hundred fifty-two thousand, six hundred seventy-two".