213075720 has 192 divisors, whose sum is σ = 813758400. Its totient is φ = 47669760.

The previous prime is 213075713. The next prime is 213075721. The reversal of 213075720 is 27570312.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (213075721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49411 + ... + 53549.

It is an arithmetic number, because the mean of its divisors is an integer number (4238325).

Almost surely, 2^213075720 is an apocalyptic number.

213075720 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 213075720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406879200).

213075720 is an abundant number, since it is smaller than the sum of its proper divisors (600682680).

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

213075720 is a wasteful number, since it uses less digits than its factorization.

213075720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 213075720 is about 14597.1134132746. The cubic root of 213075720 is about 597.2800214941.

The spelling of 213075720 in words is "two hundred thirteen million, seventy-five thousand, seven hundred twenty".