202401072 has 80 divisors (see below), whose sum is σ = 611568000. Its totient is φ = 63913536.

The previous prime is 202401029. The next prime is 202401083. The reversal of 202401072 is 270104202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4122 + ... + 20537.

It is an arithmetic number, because the mean of its divisors is an integer number (7644600).

Almost surely, 2^202401072 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 202401072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305784000).

202401072 is an abundant number, since it is smaller than the sum of its proper divisors (409166928).

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

202401072 is a wasteful number, since it uses less digits than its factorization.

202401072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24695 (or 24683 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 202401072 is about 14226.7730705174. The cubic root of 202401072 is about 587.1345034318.

Adding to 202401072 its reverse (270104202), we get a palindrome (472505274).

It can be divided in two parts, 20240 and 1072, that added together give a palindrome (21312).

The spelling of 202401072 in words is "two hundred two million, four hundred one thousand, seventy-two".