10672128 has 96 divisors (see below), whose sum is σ = 31777200. Its totient is φ = 3538944.

The previous prime is 10672121. The next prime is 10672147. The reversal of 10672128 is 82127601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10672128² = 227788632096768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55200 + ... + 55392.

Almost surely, 2^10672128 is an apocalyptic number.

10672128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15888600).

10672128 is an abundant number, since it is smaller than the sum of its proper divisors (21105072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10672128 is an equidigital number, since it uses as much as digits as its factorization.

10672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10672128 is about 3266.8223092173. The cubic root of 10672128 is about 220.1660454442.

Adding to 10672128 its reverse (82127601), we get a palindrome (92799729).

The spelling of 10672128 in words is "ten million, six hundred seventy-two thousand, one hundred twenty-eight".