7201665120 has 384 divisors, whose sum is σ = 26770746240. Its totient is φ = 1610219520.

The previous prime is 7201665071. The next prime is 7201665161. The reversal of 7201665120 is 215661027.

It is a super-2 number, since 2×7201665120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3075150 + ... + 3077490.

It is an arithmetic number, because the mean of its divisors is an integer number (69715485).

Almost surely, 2^7201665120 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 7201665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13385373120).

7201665120 is an abundant number, since it is smaller than the sum of its proper divisors (19569081120).

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

7201665120 is a wasteful number, since it uses less digits than its factorization.

7201665120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 7201665120 is about 84862.6249888607. The cubic root of 7201665120 is about 1931.1276147453.

The spelling of 7201665120 in words is "seven billion, two hundred one million, six hundred sixty-five thousand, one hundred twenty".