10206672 has 80 divisors (see below), whose sum is σ = 30986112. Its totient is φ = 2833920.

The previous prime is 10206671. The next prime is 10206683. The reversal of 10206672 is 27660201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12022 + ... + 12842.

Almost surely, 2^10206672 is an apocalyptic number.

10206672 is a gapful number since it is divisible by the number (12) 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 10206672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493056).

10206672 is an abundant number, since it is smaller than the sum of its proper divisors (20779440).

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

10206672 is a wasteful number, since it uses less digits than its factorization.

10206672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 10206672 is about 3194.7882558943. The cubic root of 10206672 is about 216.9175644461.

Adding to 10206672 its reverse (27660201), we get a palindrome (37866873).

It can be divided in two parts, 10206 and 672, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10206672 in words is "ten million, two hundred six thousand, six hundred seventy-two".