72118729 has 2 divisors, whose sum is σ = 72118730. Its totient is φ = 72118728.

The previous prime is 72118693. The next prime is 72118751. The reversal of 72118729 is 92781127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68508729 + 3610000 = 8277^2 + 1900^2 .

It is a cyclic number.

It is not a de Polignac number, because 72118729 - 2¹³ = 72110537 is a prime.

It is a super-2 number, since 2×72118729² = 10402222145150882, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72118759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36059364 + 36059365.

It is an arithmetic number, because the mean of its divisors is an integer number (36059365).

Almost surely, 2^72118729 is an apocalyptic number.

It is an amenable number.

72118729 is a deficient number, since it is larger than the sum of its proper divisors (1).

72118729 is an equidigital number, since it uses as much as digits as its factorization.

72118729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14112, while the sum is 37.

The square root of 72118729 is about 8492.2746658360. The cubic root of 72118729 is about 416.2453115050.

The spelling of 72118729 in words is "seventy-two million, one hundred eighteen thousand, seven hundred twenty-nine".