7201920 has 192 divisors, whose sum is σ = 26046720. Its totient is φ = 1689600.

The previous prime is 7201919. The next prime is 7201927. The reversal of 7201920 is 291027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (7201927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232305 + ... + 232335.

It is an arithmetic number, because the mean of its divisors is an integer number (135660).

Almost surely, 2^7201920 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 7201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023360).

7201920 is an abundant number, since it is smaller than the sum of its proper divisors (18844800).

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

7201920 is a wasteful number, since it uses less digits than its factorization.

7201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 7201920 is about 2683.6393200279. The cubic root of 7201920 is about 193.1150396514.

Adding to 7201920 its reverse (291027), we get a palindrome (7492947).

The spelling of 7201920 in words is "seven million, two hundred one thousand, nine hundred twenty".