72257407 has 2 divisors, whose sum is σ = 72257408. Its totient is φ = 72257406.

The previous prime is 72257387. The next prime is 72257417. The reversal of 72257407 is 70475227.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72257407 - 2⁷ = 72257279 is a prime.

It is a super-2 number, since 2×72257407² = 10442265732727298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72257417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36128703 + 36128704.

It is an arithmetic number, because the mean of its divisors is an integer number (36128704).

Almost surely, 2^72257407 is an apocalyptic number.

72257407 is a deficient number, since it is larger than the sum of its proper divisors (1).

72257407 is an equidigital number, since it uses as much as digits as its factorization.

72257407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27440, while the sum is 34.

The square root of 72257407 is about 8500.4356947159. The cubic root of 72257407 is about 416.5119417694.

The spelling of 72257407 in words is "seventy-two million, two hundred fifty-seven thousand, four hundred seven".