7272336960 has 504 divisors, whose sum is σ = 30118004280. Its totient is φ = 1604026368.

The previous prime is 7272336943. The next prime is 7272336961. The reversal of 7272336960 is 696332727.

It can be written as a sum of positive squares in 4 ways, for example, as 796594176 + 6475742784 = 28224^2 + 80472^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (7272336961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4091592 + ... + 4093368.

It is an arithmetic number, because the mean of its divisors is an integer number (59757945).

Almost surely, 2^7272336960 is an apocalyptic number.

7272336960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7272336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15059002140).

7272336960 is an abundant number, since it is smaller than the sum of its proper divisors (22845667320).

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

7272336960 is a wasteful number, since it uses less digits than its factorization.

7272336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 7272336960 is about 85277.9981003307. The cubic root of 7272336960 is about 1937.4239518399.

The spelling of 7272336960 in words is "seven billion, two hundred seventy-two million, three hundred thirty-six thousand, nine hundred sixty".