72257149 has 2 divisors, whose sum is σ = 72257150. Its totient is φ = 72257148.

The previous prime is 72257093. The next prime is 72257153. The reversal of 72257149 is 94175227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69305625 + 2951524 = 8325^2 + 1718^2 .

It is a cyclic number.

It is not a de Polignac number, because 72257149 - 2¹¹ = 72255101 is a prime.

It is a Chen prime.

It is equal to p_4242997 and since 72257149 and 4242997 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72237149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36128574 + 36128575.

It is an arithmetic number, because the mean of its divisors is an integer number (36128575).

Almost surely, 2^72257149 is an apocalyptic number.

It is an amenable number.

72257149 is a deficient number, since it is larger than the sum of its proper divisors (1).

72257149 is an equidigital number, since it uses as much as digits as its factorization.

72257149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 37.

The square root of 72257149 is about 8500.4205190096. The cubic root of 72257149 is about 416.5114460407.

The spelling of 72257149 in words is "seventy-two million, two hundred fifty-seven thousand, one hundred forty-nine".