7272166729 has 9 divisors (see below), whose sum is σ = 7416575733. Its totient is φ = 7130521632.

The previous prime is 7272166691. The next prime is 7272166747. The reversal of 7272166729 is 9276612727.

It is a happy number.

The square root of 7272166729 is 85277.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4208765625 + 3063401104 = 64875^2 + 55348^2 .

It is not a de Polignac number, because 7272166729 - 2²¹ = 7270069577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7272166129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4518877 + ... + 4520485.

Almost surely, 2^7272166729 is an apocalyptic number.

7272166729 is the 85277-th square number.

7272166729 is the 42639-th centered octagonal number.

It is an amenable number.

7272166729 is a deficient number, since it is larger than the sum of its proper divisors (144409004).

7272166729 is an frugal number, since it uses more digits than its factorization.

7272166729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 1662 counting only the distinct ones).

The product of its digits is 889056, while the sum is 49.

The cubic root of 7272166729 is about 1937.4088346366.

Multiplying 7272166729 by its sum of digits (49), we get a square (356336169721 = 596939²).

The spelling of 7272166729 in words is "seven billion, two hundred seventy-two million, one hundred sixty-six thousand, seven hundred twenty-nine".