7205032120 has 192 divisors, whose sum is σ = 19303875360. Its totient is φ = 2404131840.

The previous prime is 7205032111. The next prime is 7205032127. The reversal of 7205032120 is 212305027.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 7205032091 and 7205032100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7205032127) 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, 19316254 + ... + 19316626.

Almost surely, 2^7205032120 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 7205032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651937680).

7205032120 is an abundant number, since it is smaller than the sum of its proper divisors (12098843240).

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

7205032120 is a wasteful number, since it uses less digits than its factorization.

7205032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 7205032120 is about 84882.4606146641. The cubic root of 7205032120 is about 1931.4285217125.

Adding to 7205032120 its reverse (212305027), we get a palindrome (7417337147).

The spelling of 7205032120 in words is "seven billion, two hundred five million, thirty-two thousand, one hundred twenty".