72204120 has 96 divisors (see below), whose sum is σ = 236265120. Its totient is φ = 19123200.

The previous prime is 72204109. The next prime is 72204149. The reversal of 72204120 is 2140227.

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

It is a junction number, because it is equal to n+sod(n) for n = 72204093 and 72204102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59520 + ... + 60720.

It is an arithmetic number, because the mean of its divisors is an integer number (2461095).

Almost surely, 2^72204120 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 72204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118132560).

72204120 is an abundant number, since it is smaller than the sum of its proper divisors (164061000).

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

72204120 is a wasteful number, since it uses less digits than its factorization.

72204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72204120 is about 8497.3007478846. The cubic root of 72204120 is about 416.4095295236.

Adding to 72204120 its reverse (2140227), we get a palindrome (74344347).

The spelling of 72204120 in words is "seventy-two million, two hundred four thousand, one hundred twenty".