211752000 has 336 divisors, whose sum is σ = 806665392. Its totient is φ = 52838400.

The previous prime is 211751993. The next prime is 211752001. The reversal of 211752000 is 257112.

It can be written as a sum of positive squares in 8 ways, for example, as 9884736 + 201867264 = 3144^2 + 14208^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211752001) 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 47 ways as a sum of consecutive naturals, for example, 1223914 + ... + 1224086.

Almost surely, 2^211752000 is an apocalyptic number.

211752000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403332696).

211752000 is an abundant number, since it is smaller than the sum of its proper divisors (594913392).

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

211752000 is a wasteful number, since it uses less digits than its factorization.

211752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 211752000 is about 14551.7009315063. The cubic root of 211752000 is about 596.0405960066.

The spelling of 211752000 in words is "two hundred eleven million, seven hundred fifty-two thousand".