720216 has 48 divisors (see below), whose sum is σ = 2230800. Its totient is φ = 205632.

The previous prime is 720211. The next prime is 720221. The reversal of 720216 is 612027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (720211) and next prime (720221).

It is a super-2 number, since 2×720216² = 1037422173312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

720216 is a modest number, since divided by 216 gives 72 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 720216.

It is not an unprimeable number, because it can be changed into a prime (720211) by changing a digit.

720216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 1218.

It is an arithmetic number, because the mean of its divisors is an integer number (46475).

2⁷²⁰²¹⁶ 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 720216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115400).

720216 is an abundant number, since it is smaller than the sum of its proper divisors (1510584).

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

720216 is a wasteful number, since it uses less digits than its factorization.

720216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 720216 is about 848.6554071000. The cubic root of 720216 is about 89.6370568445.

It can be divided in two parts, 72021 and 6, that added together give a palindrome (72027).

The spelling of 720216 in words is "seven hundred twenty thousand, two hundred sixteen".