10672200 has 324 divisors, whose sum is σ = 45827145. Its totient is φ = 2217600.

The previous prime is 10672187. The next prime is 10672201. The reversal of 10672200 is 227601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10458756 + 213444 = 3234^2 + 462^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2310.

It is a super-2 number, since 2×10672200² = 227791705680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10672201) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 970195 + ... + 970205.

Almost surely, 2^10672200 is an apocalyptic number.

10672200 is a gapful number since it is divisible by the number (10) 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 10672200

10672200 is an abundant number, since it is smaller than the sum of its proper divisors (35154945).

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

10672200 is a wasteful number, since it uses less digits than its factorization.

10672200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10672200 is about 3266.8333290818. The cubic root of 10672200 is about 220.1665405632.

Multiplying 10672200 by its sum of digits (18), we get a square (192099600 = 13860²).

10672200 divided by its sum of digits (18) gives a square (592900 = 770²).

Adding to 10672200 its reverse (227601), we get a palindrome (10899801).

The spelling of 10672200 in words is "ten million, six hundred seventy-two thousand, two hundred".