72025013 has 2 divisors, whose sum is σ = 72025014. Its totient is φ = 72025012.

The previous prime is 72025001. The next prime is 72025033. The reversal of 72025013 is 31052027.

It is an a-pointer prime, because the next prime (72025033) can be obtained adding 72025013 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70442449 + 1582564 = 8393^2 + 1258^2 .

It is an emirp because it is prime and its reverse (31052027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72025013 - 2¹⁰ = 72023989 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72025033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36012506 + 36012507.

It is an arithmetic number, because the mean of its divisors is an integer number (36012507).

Almost surely, 2^72025013 is an apocalyptic number.

It is an amenable number.

72025013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72025013 is an equidigital number, since it uses as much as digits as its factorization.

72025013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 72025013 is about 8486.7551514109. The cubic root of 72025013 is about 416.0649341593.

The spelling of 72025013 in words is "seventy-two million, twenty-five thousand, thirteen".