72704111769 has 45 divisors (see below), whose sum is σ = 111940470889. Its totient is φ = 45471583680.

The previous prime is 72704111749. The next prime is 72704111783. The reversal of 72704111769 is 96711140727.

The square root of 72704111769 is 269637.

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

It can be written as a sum of positive squares in 2 ways, for example, as 22563945369 + 50140166400 = 150213^2 + 223920^2 .

It is not a de Polignac number, because 72704111769 - 2²¹ = 72702014617 is a prime.

It is a super-2 number, since 2×72704111769² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72704111719) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 233775124 + ... + 233775434.

Almost surely, 2^72704111769 is an apocalyptic number.

72704111769 is the 269637-th square number.

72704111769 is the 134819-th centered octagonal number.

It is an amenable number.

72704111769 is a deficient number, since it is larger than the sum of its proper divisors (39236359120).

72704111769 is an frugal number, since it uses more digits than its factorization.

72704111769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 72704111769 in words is "seventy-two billion, seven hundred four million, one hundred eleven thousand, seven hundred sixty-nine".