72513713 has 2 divisors, whose sum is σ = 72513714. Its totient is φ = 72513712.

The previous prime is 72513677. The next prime is 72513719. The reversal of 72513713 is 31731527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44930209 + 27583504 = 6703^2 + 5252^2 .

It is a cyclic number.

It is not a de Polignac number, because 72513713 - 2¹⁴ = 72497329 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_4257155 and since 72513713 and 4257155 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (72513719) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36256856 + 36256857.

It is an arithmetic number, because the mean of its divisors is an integer number (36256857).

Almost surely, 2^72513713 is an apocalyptic number.

It is an amenable number.

72513713 is a deficient number, since it is larger than the sum of its proper divisors (1).

72513713 is an equidigital number, since it uses as much as digits as its factorization.

72513713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4410, while the sum is 29.

The square root of 72513713 is about 8515.4983999764. The cubic root of 72513713 is about 417.0038338281.

The spelling of 72513713 in words is "seventy-two million, five hundred thirteen thousand, seven hundred thirteen".