213009072 has 80 divisors (see below), whose sum is σ = 583795968. Its totient is φ = 66781440.

The previous prime is 213008987. The next prime is 213009103. The reversal of 213009072 is 270900312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 65763 + ... + 68925.

Almost surely, 2^213009072 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 213009072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291897984).

213009072 is an abundant number, since it is smaller than the sum of its proper divisors (370786896).

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

213009072 is a wasteful number, since it uses less digits than its factorization.

213009072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 213009072 is about 14594.8303176159. The cubic root of 213009072 is about 597.2177405515.

Adding to 213009072 its reverse (270900312), we get a palindrome (483909384).

The spelling of 213009072 in words is "two hundred thirteen million, nine thousand, seventy-two".