72157073 has 2 divisors, whose sum is σ = 72157074. Its totient is φ = 72157072.

The previous prime is 72157037. The next prime is 72157081. The reversal of 72157073 is 37075127.

Together with previous prime (72157037) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70274689 + 1882384 = 8383^2 + 1372^2 .

It is a cyclic number.

It is not a de Polignac number, because 72157073 - 2¹⁸ = 71894929 is a prime.

It is not a weakly prime, because it can be changed into another prime (72157013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36078536 + 36078537.

It is an arithmetic number, because the mean of its divisors is an integer number (36078537).

Almost surely, 2^72157073 is an apocalyptic number.

It is an amenable number.

72157073 is a deficient number, since it is larger than the sum of its proper divisors (1).

72157073 is an equidigital number, since it uses as much as digits as its factorization.

72157073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 72157073 is about 8494.5319470822. The cubic root of 72157073 is about 416.3190680389.

The spelling of 72157073 in words is "seventy-two million, one hundred fifty-seven thousand, seventy-three".