10205072 has 10 divisors (see below), whose sum is σ = 19772358. Its totient is φ = 5102528.

The previous prime is 10205051. The next prime is 10205087. The reversal of 10205072 is 27050201.

It can be written as a sum of positive squares in only one way, i.e., 9709456 + 495616 = 3116^2 + 704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10205072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 318893 + ... + 318924.

Almost surely, 2^10205072 is an apocalyptic number.

It is an amenable number.

10205072 is a deficient number, since it is larger than the sum of its proper divisors (9567286).

10205072 is an equidigital number, since it uses as much as digits as its factorization.

10205072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637825 (or 637819 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 10205072 is about 3194.5378382483. The cubic root of 10205072 is about 216.9062291731.

Adding to 10205072 its reverse (27050201), we get a palindrome (37255273).

The spelling of 10205072 in words is "ten million, two hundred five thousand, seventy-two".