72907253 has 2 divisors, whose sum is σ = 72907254. Its totient is φ = 72907252.

The previous prime is 72907243. The next prime is 72907259. The reversal of 72907253 is 35270927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70526404 + 2380849 = 8398^2 + 1543^2 .

It is a cyclic number.

It is not a de Polignac number, because 72907253 - 2⁸ = 72906997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72907259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36453626 + 36453627.

It is an arithmetic number, because the mean of its divisors is an integer number (36453627).

Almost surely, 2^72907253 is an apocalyptic number.

It is an amenable number.

72907253 is a deficient number, since it is larger than the sum of its proper divisors (1).

72907253 is an equidigital number, since it uses as much as digits as its factorization.

72907253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 72907253 is about 8538.5744126288. The cubic root of 72907253 is about 417.7568486578.

The spelling of 72907253 in words is "seventy-two million, nine hundred seven thousand, two hundred fifty-three".