736272111969 has 27 divisors (see below), whose sum is σ = 1069024468473. Its totient is φ = 488313356544.

The previous prime is 736272111947. The next prime is 736272111977. The reversal of 736272111969 is 969111272637.

The square root of 736272111969 is 858063.

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

736272111969 is a `hidden beast` number, since 7 + 3 + 627 + 2 + 1 + 1 + 1 + 9 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127404021969 + 608868090000 = 356937^2 + 780300^2 .

It is not a de Polignac number, because 736272111969 - 2¹⁵ = 736272079201 is a prime.

It is a super-2 number, since 2×736272111969² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (736272111989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 589488657 + ... + 589489905.

Almost surely, 2^736272111969 is an apocalyptic number.

736272111969 is the 858063-rd square number.

736272111969 is the 429032-nd centered octagonal number.

It is an amenable number.

736272111969 is a deficient number, since it is larger than the sum of its proper divisors (332752356504).

736272111969 is an frugal number, since it uses more digits than its factorization.

736272111969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 1481 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

It can be divided in two parts, 736272 and 111969, that added together give a square (848241 = 921²).

The spelling of 736272111969 in words is "seven hundred thirty-six billion, two hundred seventy-two million, one hundred eleven thousand, nine hundred sixty-nine".