72708253 has 2 divisors, whose sum is σ = 72708254. Its totient is φ = 72708252.

The previous prime is 72708241. The next prime is 72708257. The reversal of 72708253 is 35280727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66292164 + 6416089 = 8142^2 + 2533^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72708253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72708257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36354126 + 36354127.

It is an arithmetic number, because the mean of its divisors is an integer number (36354127).

Almost surely, 2^72708253 is an apocalyptic number.

It is an amenable number.

72708253 is a deficient number, since it is larger than the sum of its proper divisors (1).

72708253 is an equidigital number, since it uses as much as digits as its factorization.

72708253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 72708253 is about 8526.9134509505. The cubic root of 72708253 is about 417.3764138727.

The spelling of 72708253 in words is "seventy-two million, seven hundred eight thousand, two hundred fifty-three".