7273257306 has 16 divisors (see below), whose sum is σ = 16624588224. Its totient is φ = 2078073504.

The previous prime is 7273257301. The next prime is 7273257311. The reversal of 7273257306 is 6037523727.

It is an interprime number because it is at equal distance from previous prime (7273257301) and next prime (7273257311).

It is a super-3 number, since 3×7273257306³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 173172793 = 7273257306 / (7 + 2 + 7 + 3 + 2 + 5 + 7 + 3 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (7273257301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86586355 + ... + 86586438.

It is an arithmetic number, because the mean of its divisors is an integer number (1039036764).

Almost surely, 2^7273257306 is an apocalyptic number.

7273257306 is an abundant number, since it is smaller than the sum of its proper divisors (9351330918).

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

7273257306 is a wasteful number, since it uses less digits than its factorization.

7273257306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173172805.

The product of its (nonzero) digits is 370440, while the sum is 42.

The square root of 7273257306 is about 85283.3940811457. The cubic root of 7273257306 is about 1937.5056782130.

The spelling of 7273257306 in words is "seven billion, two hundred seventy-three million, two hundred fifty-seven thousand, three hundred six".