4072400 has 30 divisors (see below), whose sum is σ = 9784902. Its totient is φ = 1628800.

The previous prime is 4072399. The next prime is 4072417. The reversal of 4072400 is 42704.

4072400 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 3 ways, for example, as 355216 + 3717184 = 596^2 + 1928^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4691 + ... + 5490.

Almost surely, 2^4072400 is an apocalyptic number.

4072400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4072400 is an abundant number, since it is smaller than the sum of its proper divisors (5712502).

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

4072400 is a wasteful number, since it uses less digits than its factorization.

4072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10199 (or 10188 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 4072400 is about 2018.0188304374. The cubic root of 4072400 is about 159.6921162609.

The spelling of 4072400 in words is "four million, seventy-two thousand, four hundred".