210072006 has 24 divisors (see below), whose sum is σ = 455494104. Its totient is φ = 69972000.

The previous prime is 210071933. The next prime is 210072007. The reversal of 210072006 is 600270012.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 210072006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210072007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26506 + ... + 33506.

It is an arithmetic number, because the mean of its divisors is an integer number (18978921).

Almost surely, 2^210072006 is an apocalyptic number.

210072006 is an abundant number, since it is smaller than the sum of its proper divisors (245422098).

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

210072006 is a wasteful number, since it uses less digits than its factorization.

210072006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8673 counting only the distinct ones).

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

The square root of 210072006 is about 14493.8609762892. The cubic root of 210072006 is about 594.4601237105.

The spelling of 210072006 in words is "two hundred ten million, seventy-two thousand, six".