202141072 has 60 divisors (see below), whose sum is σ = 460868940. Its totient is φ = 85628928.

The previous prime is 202141063. The next prime is 202141087. The reversal of 202141072 is 270141202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30426256 + 171714816 = 5516^2 + 13104^2 .

It is a super-2 number, since 2×202141072² = 81722025978618368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68328 + ... + 71224.

It is an arithmetic number, because the mean of its divisors is an integer number (7681149).

Almost surely, 2^202141072 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 202141072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230434470).

202141072 is an abundant number, since it is smaller than the sum of its proper divisors (258727868).

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

202141072 is a wasteful number, since it uses less digits than its factorization.

202141072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 202141072 is about 14217.6324330037. The cubic root of 202141072 is about 586.8829889811.

Adding to 202141072 its reverse (270141202), we get a palindrome (472282274).

The spelling of 202141072 in words is "two hundred two million, one hundred forty-one thousand, seventy-two".