211507072 has 64 divisors (see below), whose sum is σ = 486050400. Its totient is φ = 89800704.

The previous prime is 211507027. The next prime is 211507091. The reversal of 211507072 is 270705112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 100204 + ... + 102292.

Almost surely, 2^211507072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243025200).

211507072 is an abundant number, since it is smaller than the sum of its proper divisors (274543328).

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

211507072 is a wasteful number, since it uses less digits than its factorization.

211507072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 211507072 is about 14543.2827105850. The cubic root of 211507072 is about 595.8106991560.

The spelling of 211507072 in words is "two hundred eleven million, five hundred seven thousand, seventy-two".