4632672 has 96 divisors (see below), whose sum is σ = 13716864. Its totient is φ = 1356800.

The previous prime is 4632647. The next prime is 4632673. The reversal of 4632672 is 2762364.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 4¹¹ + 6⁵ + 3⁶ + 2¹¹ + 6⁷ + 7⁵ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4632673) 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, 43243 + ... + 43349.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

Almost surely, 2^4632672 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 4632672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858432).

4632672 is an abundant number, since it is smaller than the sum of its proper divisors (9084192).

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

4632672 is a wasteful number, since it uses less digits than its factorization.

4632672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 4632672 is about 2152.3642814356. The cubic root of 4632672 is about 166.7031671168.

The spelling of 4632672 in words is "four million, six hundred thirty-two thousand, six hundred seventy-two".