4072000 has 56 divisors (see below), whose sum is σ = 10104120. Its totient is φ = 1625600.

The previous prime is 4071983. The next prime is 4072007. The reversal of 4072000 is 2704.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 4064256 = 88^2 + 2016^2 .

It is not an unprimeable number, because it can be changed into a prime (4072007) 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, 7746 + ... + 8254.

Almost surely, 2^4072000 is an apocalyptic number.

4072000 is a gapful number since it is divisible by the number (40) 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 4072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052060).

4072000 is an abundant number, since it is smaller than the sum of its proper divisors (6032120).

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

4072000 is an equidigital number, since it uses as much as digits as its factorization.

4072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 4072000 is about 2017.9197209007. The cubic root of 4072000 is about 159.6868876538.

Adding to 4072000 its reverse (2704), we get a palindrome (4074704).

The spelling of 4072000 in words is "four million, seventy-two thousand".