10206972 has 36 divisors (see below), whose sum is σ = 26759096. Its totient is φ = 3402000.

The previous prime is 10206949. The next prime is 10206983. The reversal of 10206972 is 27960201.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4279 + ... + 6222.

Almost surely, 2^10206972 is an apocalyptic number.

10206972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10206972 is an abundant number, since it is smaller than the sum of its proper divisors (16552124).

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

10206972 is a wasteful number, since it uses less digits than its factorization.

10206972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10206972 is about 3194.8352070177. The cubic root of 10206972 is about 216.9196896779.

The spelling of 10206972 in words is "ten million, two hundred six thousand, nine hundred seventy-two".