213867072 has 84 divisors (see below), whose sum is σ = 649100556. Its totient is φ = 67092480.

The previous prime is 213867053. The next prime is 213867113. The reversal of 213867072 is 270768312.

213867072 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 156350016 = 7584^2 + 12504^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1129 + ... + 20712.

Almost surely, 2^213867072 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 213867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324550278).

213867072 is an abundant number, since it is smaller than the sum of its proper divisors (435233484).

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

213867072 is a wasteful number, since it uses less digits than its factorization.

213867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21876 (or 21863 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 213867072 is about 14624.1947470621. The cubic root of 213867072 is about 598.0185301656.

The spelling of 213867072 in words is "two hundred thirteen million, eight hundred sixty-seven thousand, seventy-two".