200072430 has 80 divisors (see below), whose sum is σ = 542147760. Its totient is φ = 52939008.

The previous prime is 200072429. The next prime is 200072437. The reversal of 200072430 is 34270002.

It is a happy number.

It is a super-2 number, since 2×200072430² = 80057954492209800, which contains 22 as substring.

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 (200072437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111702 + ... + 113478.

It is an arithmetic number, because the mean of its divisors is an integer number (6776847).

Almost surely, 2^200072430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200072430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271073880).

200072430 is an abundant number, since it is smaller than the sum of its proper divisors (342075330).

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

200072430 is a wasteful number, since it uses less digits than its factorization.

200072430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1926 counting only the distinct ones).

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

The square root of 200072430 is about 14144.6961791337. The cubic root of 200072430 is about 584.8741346572.

The spelling of 200072430 in words is "two hundred million, seventy-two thousand, four hundred thirty".