10072175 has 12 divisors (see below), whose sum is σ = 12662880. Its totient is φ = 7945920.

The previous prime is 10072171. The next prime is 10072199. The reversal of 10072175 is 57127001.

It is a happy number.

It is not a de Polignac number, because 10072175 - 2² = 10072171 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10072175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072171) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 935 + ... + 4584.

It is an arithmetic number, because the mean of its divisors is an integer number (1055240).

Almost surely, 2^10072175 is an apocalyptic number.

10072175 is a deficient number, since it is larger than the sum of its proper divisors (2590705).

10072175 is an equidigital number, since it uses as much as digits as its factorization.

10072175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 10072175 is about 3173.6690123578. The cubic root of 10072175 is about 215.9605480644.

Adding to 10072175 its reverse (57127001), we get a palindrome (67199176).

The spelling of 10072175 in words is "ten million, seventy-two thousand, one hundred seventy-five".