7272737280 has 360 divisors, whose sum is σ = 26215361172. Its totient is φ = 1934917632.

The previous prime is 7272737203. The next prime is 7272737323. The reversal of 7272737280 is 827372727.

7272737280 is a `hidden beast` number, since 7 + 272 + 7 + 372 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6666395904 + 606341376 = 81648^2 + 24624^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16795944 + ... + 16796376.

Almost surely, 2^7272737280 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 7272737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107680586).

7272737280 is an abundant number, since it is smaller than the sum of its proper divisors (18942623892).

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

7272737280 is an frugal number, since it uses more digits than its factorization.

7272737280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The square root of 7272737280 is about 85280.3452150611. The cubic root of 7272737280 is about 1937.4595009502.

The spelling of 7272737280 in words is "seven billion, two hundred seventy-two million, seven hundred thirty-seven thousand, two hundred eighty".