203913072 has 240 divisors, whose sum is σ = 664957440. Its totient is φ = 59748480.

The previous prime is 203913067. The next prime is 203913089. The reversal of 203913072 is 270319302.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2456743 + ... + 2456825.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 2^203913072 is an apocalyptic number.

203913072 is a gapful number since it is divisible by the number (22) 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 203913072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332478720).

203913072 is an abundant number, since it is smaller than the sum of its proper divisors (461044368).

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

203913072 is a wasteful number, since it uses less digits than its factorization.

203913072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 203913072 is about 14279.8134441596. The cubic root of 203913072 is about 588.5929046560.

The spelling of 203913072 in words is "two hundred three million, nine hundred thirteen thousand, seventy-two".