4032672 has 96 divisors (see below), whose sum is σ = 12845952. Its totient is φ = 1081344.

The previous prime is 4032671. The next prime is 4032683. The reversal of 4032672 is 2762304.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032671) 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, 11248 + ... + 11600.

It is an arithmetic number, because the mean of its divisors is an integer number (133812).

Almost surely, 2^4032672 is an apocalyptic number.

4032672 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 4032672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422976).

4032672 is an abundant number, since it is smaller than the sum of its proper divisors (8813280).

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

4032672 is a wasteful number, since it uses less digits than its factorization.

4032672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 4032672 is about 2008.1513887155. The cubic root of 4032672 is about 159.1711301740.

Adding to 4032672 its reverse (2762304), we get a palindrome (6794976).

The spelling of 4032672 in words is "four million, thirty-two thousand, six hundred seventy-two".