200034072 has 216 divisors, whose sum is σ = 662231700. Its totient is φ = 54371520.

The previous prime is 200034047. The next prime is 200034073. The reversal of 200034072 is 270430002.

It is a happy number.

200034072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200034073) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3390379 + ... + 3390437.

Almost surely, 2^200034072 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 200034072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331115850).

200034072 is an abundant number, since it is smaller than the sum of its proper divisors (462197628).

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

200034072 is a wasteful number, since it uses less digits than its factorization.

200034072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 200034072 is about 14143.3401995427. The cubic root of 200034072 is about 584.8367548010.

Adding to 200034072 its reverse (270430002), we get a palindrome (470464074).

The spelling of 200034072 in words is "two hundred million, thirty-four thousand, seventy-two".