203940072 has 256 divisors, whose sum is σ = 706560000. Its totient is φ = 53187840.

The previous prime is 203940067. The next prime is 203940083. The reversal of 203940072 is 270049302.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 890454 + ... + 890682.

It is an arithmetic number, because the mean of its divisors is an integer number (2760000).

Almost surely, 2^203940072 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 203940072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353280000).

203940072 is an abundant number, since it is smaller than the sum of its proper divisors (502619928).

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

203940072 is a wasteful number, since it uses less digits than its factorization.

203940072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 203940072 is about 14280.7588033690. The cubic root of 203940072 is about 588.6188819134.

Adding to 203940072 its reverse (270049302), we get a palindrome (473989374).

The spelling of 203940072 in words is "two hundred three million, nine hundred forty thousand, seventy-two".