10072837 has 2 divisors, whose sum is σ = 10072838. Its totient is φ = 10072836.

The previous prime is 10072817. The next prime is 10072871. The reversal of 10072837 is 73827001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10042561 + 30276 = 3169^2 + 174^2 .

It is a cyclic number.

It is not a de Polignac number, because 10072837 - 2⁷ = 10072709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10072817) 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, 5036418 + 5036419.

It is an arithmetic number, because the mean of its divisors is an integer number (5036419).

Almost surely, 2^10072837 is an apocalyptic number.

It is an amenable number.

10072837 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072837 is an equidigital number, since it uses as much as digits as its factorization.

10072837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 10072837 is about 3173.7733063343. The cubic root of 10072837 is about 215.9652793414.

Adding to 10072837 its reverse (73827001), we get a palindrome (83899838).

It can be divided in two parts, 1007 and 2837, that added together give a square (3844 = 62²).

The spelling of 10072837 in words is "ten million, seventy-two thousand, eight hundred thirty-seven".