4000672 has 48 divisors (see below), whose sum is σ = 8678880. Its totient is φ = 1804032.

The previous prime is 4000669. The next prime is 4000673. The reversal of 4000672 is 2760004.

It is not an unprimeable number, because it can be changed into a prime (4000673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24463 + ... + 24625.

It is an arithmetic number, because the mean of its divisors is an integer number (180810).

Almost surely, 2^4000672 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 4000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339440).

4000672 is an abundant number, since it is smaller than the sum of its proper divisors (4678208).

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

4000672 is a wasteful number, since it uses less digits than its factorization.

4000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 4000672 is about 2000.1679929446. The cubic root of 4000672 is about 158.7489941449.

Adding to 4000672 its reverse (2760004), we get a palindrome (6760676).

The spelling of 4000672 in words is "four million, six hundred seventy-two", and thus it is an aban number.