203842227072 has 256 divisors, whose sum is σ = 615810263040. Its totient is φ = 59182080000.

The previous prime is 203842227047. The next prime is 203842227079. The reversal of 203842227072 is 270722248302.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 203842227072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203842227079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13217638 + ... + 13233050.

It is an arithmetic number, because the mean of its divisors is an integer number (2405508840).

Almost surely, 2^203842227072 is an apocalyptic number.

203842227072 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 203842227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307905131520).

203842227072 is an abundant number, since it is smaller than the sum of its proper divisors (411968035968).

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

203842227072 is a wasteful number, since it uses less digits than its factorization.

203842227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15573 (or 15561 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 203842227072 in words is "two hundred three billion, eight hundred forty-two million, two hundred twenty-seven thousand, seventy-two".