211087872 has 120 divisors (see below), whose sum is σ = 641543760. Its totient is φ = 66631680.

The previous prime is 211087871. The next prime is 211087873. The reversal of 211087872 is 278780112.

211087872 = T₅₈ + T₅₉ + ... + T₁₀₈₁.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211087871) and next prime (211087873).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (211087871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86347 + ... + 88757.

It is an arithmetic number, because the mean of its divisors is an integer number (5346198).

Almost surely, 2^211087872 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 211087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320771880).

211087872 is an abundant number, since it is smaller than the sum of its proper divisors (430455888).

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

211087872 is a wasteful number, since it uses less digits than its factorization.

211087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 211087872 is about 14528.8634104668. The cubic root of 211087872 is about 595.4168131383.

The spelling of 211087872 in words is "two hundred eleven million, eighty-seven thousand, eight hundred seventy-two".