7201653120 has 192 divisors, whose sum is σ = 25240728240. Its totient is φ = 1891676160.

The previous prime is 7201653079. The next prime is 7201653167. The reversal of 7201653120 is 213561027.

It is a happy number.

7201653120 is a `hidden beast` number, since 7 + 2 + 0 + 1 + 653 + 1 + 2 + 0 = 666.

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

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, 376590 + ... + 395250.

Almost surely, 2^7201653120 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 7201653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620364120).

7201653120 is an abundant number, since it is smaller than the sum of its proper divisors (18039075120).

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

7201653120 is a wasteful number, since it uses less digits than its factorization.

7201653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18753 (or 18738 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7201653120 is about 84862.5542863282. The cubic root of 7201653120 is about 1931.1265421441.

The spelling of 7201653120 in words is "seven billion, two hundred one million, six hundred fifty-three thousand, one hundred twenty".