10206272 has 14 divisors (see below), whose sum is σ = 20253198. Its totient is φ = 5103104.

The previous prime is 10206271. The next prime is 10206283. The reversal of 10206272 is 27260201.

It can be written as a sum of positive squares in only one way, i.e., 6270016 + 3936256 = 2504^2 + 1984^2 .

It is not an unprimeable number, because it can be changed into a prime (10206271) 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 as a sum of consecutive naturals, namely, 79673 + ... + 79800.

It is an arithmetic number, because the mean of its divisors is an integer number (1446657).

Almost surely, 2^10206272 is an apocalyptic number.

It is an amenable number.

10206272 is a deficient number, since it is larger than the sum of its proper divisors (10046926).

10206272 is an equidigital number, since it uses as much as digits as its factorization.

10206272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159485 (or 159475 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10206272 is about 3194.7256533230. The cubic root of 10206272 is about 216.9147307389.

Adding to 10206272 its reverse (27260201), we get a palindrome (37466473).

The spelling of 10206272 in words is "ten million, two hundred six thousand, two hundred seventy-two".