72052117 has 2 divisors, whose sum is σ = 72052118. Its totient is φ = 72052116.

The previous prime is 72052109. The next prime is 72052139. The reversal of 72052117 is 71125027.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71216721 + 835396 = 8439^2 + 914^2 .

It is a cyclic number.

It is not a de Polignac number, because 72052117 - 2³ = 72052109 is a prime.

It is equal to p_4231564 and since 72052117 and 4231564 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 72052091 and 72052100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72052147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36026058 + 36026059.

It is an arithmetic number, because the mean of its divisors is an integer number (36026059).

Almost surely, 2^72052117 is an apocalyptic number.

It is an amenable number.

72052117 is a deficient number, since it is larger than the sum of its proper divisors (1).

72052117 is an equidigital number, since it uses as much as digits as its factorization.

72052117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 72052117 is about 8488.3518423779. The cubic root of 72052117 is about 416.1171179273.

The spelling of 72052117 in words is "seventy-two million, fifty-two thousand, one hundred seventeen".