213723072 has 84 divisors (see below), whose sum is σ = 626917720. Its totient is φ = 69576192.

The previous prime is 213723071. The next prime is 213723073. The reversal of 213723072 is 270327312.

It is a happy number.

213723072 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 is an interprime number because it is at equal distance from previous prime (213723071) and next prime (213723073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213723071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20454 + ... + 29082.

Almost surely, 2^213723072 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 213723072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313458860).

213723072 is an abundant number, since it is smaller than the sum of its proper divisors (413194648).

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

213723072 is a wasteful number, since it uses less digits than its factorization.

213723072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 213723072 is about 14619.2705700387. The cubic root of 213723072 is about 597.8842816622.

The spelling of 213723072 in words is "two hundred thirteen million, seven hundred twenty-three thousand, seventy-two".