10672137 has 12 divisors (see below), whose sum is σ = 17617600. Its totient is φ = 6098328.

The previous prime is 10672121. The next prime is 10672147. The reversal of 10672137 is 73127601.

It is not a de Polignac number, because 10672137 - 2⁴ = 10672121 is a prime.

It is a super-2 number, since 2×10672137² = 227789016293538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10672137.

It is not an unprimeable number, because it can be changed into a prime (10672147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84637 + ... + 84762.

Almost surely, 2^10672137 is an apocalyptic number.

It is an amenable number.

10672137 is a deficient number, since it is larger than the sum of its proper divisors (6945463).

10672137 is a wasteful number, since it uses less digits than its factorization.

10672137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169412 (or 169409 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 10672137 is about 3266.8236867024. The cubic root of 10672137 is about 220.1661073342.

Adding to 10672137 its reverse (73127601), we get a palindrome (83799738).

The spelling of 10672137 in words is "ten million, six hundred seventy-two thousand, one hundred thirty-seven".