4072900 has 54 divisors (see below), whose sum is σ = 9610062. Its totient is φ = 1497600.

The previous prime is 4072883. The next prime is 4072903. The reversal of 4072900 is 92704.

4072900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 2067844 + 2005056 = 1438^2 + 1416^2 .

It is not an unprimeable number, because it can be changed into a prime (4072903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16780 + ... + 17020.

Almost surely, 2^4072900 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 4072900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805031).

4072900 is an abundant number, since it is smaller than the sum of its proper divisors (5537162).

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

4072900 is a wasteful number, since it uses less digits than its factorization.

4072900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 4072900 is about 2018.1427105138. The cubic root of 4072900 is about 159.6986515382.

The spelling of 4072900 in words is "four million, seventy-two thousand, nine hundred".