213162752 has 72 divisors (see below), whose sum is σ = 472409280. Its totient is φ = 95175680.

The previous prime is 213162749. The next prime is 213162757. The reversal of 213162752 is 257261312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213162757) 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 7 ways as a sum of consecutive naturals, for example, 165503 + ... + 166785.

It is an arithmetic number, because the mean of its divisors is an integer number (6561240).

Almost surely, 2^213162752 is an apocalyptic number.

213162752 is a gapful number since it is divisible by the number (22) 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 213162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236204640).

213162752 is an abundant number, since it is smaller than the sum of its proper divisors (259246528).

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

213162752 is a wasteful number, since it uses less digits than its factorization.

213162752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 213162752 is about 14600.0942462712. The cubic root of 213162752 is about 597.3613312415.

The spelling of 213162752 in words is "two hundred thirteen million, one hundred sixty-two thousand, seven hundred fifty-two".