41872400 has 30 divisors (see below), whose sum is σ = 100599402. Its totient is φ = 16748800.

The previous prime is 41872373. The next prime is 41872429. The reversal of 41872400 is 427814.

41872400 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 861184 + 41011216 = 928^2 + 6404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41872400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51941 + ... + 52740.

Almost surely, 2^41872400 is an apocalyptic number.

41872400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41872400 is an abundant number, since it is smaller than the sum of its proper divisors (58727002).

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

41872400 is a wasteful number, since it uses less digits than its factorization.

41872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104699 (or 104688 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 41872400 is about 6470.8886561275. Note that the first 3 decimals coincide. The cubic root of 41872400 is about 347.2502907324.

The spelling of 41872400 in words is "forty-one million, eight hundred seventy-two thousand, four hundred".