211072071 has 24 divisors (see below), whose sum is σ = 325778560. Its totient is φ = 119077776.

The previous prime is 211072049. The next prime is 211072093. The reversal of 211072071 is 170270112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211072049) and next prime (211072093).

It is not a de Polignac number, because 211072071 - 2⁹ = 211071559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211072021) 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 23 ways as a sum of consecutive naturals, for example, 143940 + ... + 145398.

Almost surely, 2^211072071 is an apocalyptic number.

211072071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211072071 is a deficient number, since it is larger than the sum of its proper divisors (114706489).

211072071 is an equidigital number, since it uses as much as digits as its factorization.

211072071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 211072071 is about 14528.3196206581. The cubic root of 211072071 is about 595.4019561094.

The spelling of 211072071 in words is "two hundred eleven million, seventy-two thousand, seventy-one".