7201219600 has 45 divisors (see below), whose sum is σ = 17305008573. Its totient is φ = 2879808960.

The previous prime is 7201219579. The next prime is 7201219673. The reversal of 7201219600 is 69121027.

It is a happy number.

The square root of 7201219600 is 84860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2592439056 + 4608780544 = 50916^2 + 67888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1695079 + ... + 1699321.

Almost surely, 2^7201219600 is an apocalyptic number.

7201219600 is the 84860-th square number.

It is an amenable number.

7201219600 is an abundant number, since it is smaller than the sum of its proper divisors (10103788973).

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

7201219600 is an frugal number, since it uses more digits than its factorization.

7201219600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The cubic root of 7201219600 is about 1931.0877918385.

It can be divided in two parts, 7201 and 219600, that added together give a triangular number (226801 = T₆₇₃).

The spelling of 7201219600 in words is "seven billion, two hundred one million, two hundred nineteen thousand, six hundred".