72795013 has 2 divisors, whose sum is σ = 72795014. Its totient is φ = 72795012.

The previous prime is 72795011. The next prime is 72795059. The reversal of 72795013 is 31059727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71199844 + 1595169 = 8438^2 + 1263^2 .

It is a cyclic number.

It is not a de Polignac number, because 72795013 - 2¹ = 72795011 is a prime.

It is a super-2 number, since 2×72795013² = 10598227835340338, which contains 22 as substring.

Together with 72795011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 72795013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72795011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36397506 + 36397507.

It is an arithmetic number, because the mean of its divisors is an integer number (36397507).

Almost surely, 2^72795013 is an apocalyptic number.

It is an amenable number.

72795013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72795013 is an equidigital number, since it uses as much as digits as its factorization.

72795013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 72795013 is about 8531.9993553680. Note that the first 3 decimals coincide. The cubic root of 72795013 is about 417.5423610310.

The spelling of 72795013 in words is "seventy-two million, seven hundred ninety-five thousand, thirteen".