10200272 has 20 divisors (see below), whose sum is σ = 20926116. Its totient is φ = 4800000.

The previous prime is 10200263. The next prime is 10200277. The reversal of 10200272 is 27200201.

It can be written as a sum of positive squares in 2 ways, for example, as 5973136 + 4227136 = 2444^2 + 2056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200277) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18479 + ... + 19022.

Almost surely, 2^10200272 is an apocalyptic number.

It is an amenable number.

10200272 is an abundant number, since it is smaller than the sum of its proper divisors (10725844).

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

10200272 is a wasteful number, since it uses less digits than its factorization.

10200272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37526 (or 37520 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 10200272 is about 3193.7864675022. The cubic root of 10200272 is about 216.8722162438.

Adding to 10200272 its reverse (27200201), we get a palindrome (37400473).

The spelling of 10200272 in words is "ten million, two hundred thousand, two hundred seventy-two".