210769272 has 96 divisors (see below), whose sum is σ = 654432480. Its totient is φ = 60030720.

The previous prime is 210769271. The next prime is 210769277. The reversal of 210769272 is 272967012.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210769271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272278 + ... + 273050.

It is an arithmetic number, because the mean of its divisors is an integer number (6817005).

Almost surely, 2^210769272 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 210769272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327216240).

210769272 is an abundant number, since it is smaller than the sum of its proper divisors (443663208).

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

210769272 is a wasteful number, since it uses less digits than its factorization.

210769272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 210769272 is about 14517.8948887227. The cubic root of 210769272 is about 595.1171033311.

The spelling of 210769272 in words is "two hundred ten million, seven hundred sixty-nine thousand, two hundred seventy-two".