4431672 has 80 divisors (see below), whose sum is σ = 14200560. Its totient is φ = 1264896.

The previous prime is 4431671. The next prime is 4431673. The reversal of 4431672 is 2761344.

It is an interprime number because it is at equal distance from previous prime (4431671) and next prime (4431673).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4048 + ... + 5024.

It is an arithmetic number, because the mean of its divisors is an integer number (177507).

Almost surely, 2^4431672 is an apocalyptic number.

4431672 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 4431672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100280).

4431672 is an abundant number, since it is smaller than the sum of its proper divisors (9768888).

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

4431672 is a wasteful number, since it uses less digits than its factorization.

4431672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 989 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4431672 is about 2105.1536761006. The cubic root of 4431672 is about 164.2564893914.

The spelling of 4431672 in words is "four million, four hundred thirty-one thousand, six hundred seventy-two".