7272040608 has 216 divisors, whose sum is σ = 24294580128. Its totient is φ = 2057142528.

The previous prime is 7272040603. The next prime is 7272040619. The reversal of 7272040608 is 8060402727.

7272040608 is a `hidden beast` number, since 7 + 2 + 7 + 2 + 0 + 40 + 608 = 666.

It is a super-3 number, since 3×7272040608³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7272040603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1451035 + ... + 1456037.

It is an arithmetic number, because the mean of its divisors is an integer number (112474908).

Almost surely, 2^7272040608 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 7272040608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147290064).

7272040608 is an abundant number, since it is smaller than the sum of its proper divisors (17022539520).

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

7272040608 is a wasteful number, since it uses less digits than its factorization.

7272040608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7272040608 is about 85276.2605183881. The cubic root of 7272040608 is about 1937.3976344280.

The spelling of 7272040608 in words is "seven billion, two hundred seventy-two million, forty thousand, six hundred eight".