72511193 has 2 divisors, whose sum is σ = 72511194. Its totient is φ = 72511192.

The previous prime is 72511189. The next prime is 72511213. The reversal of 72511193 is 39111527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68029504 + 4481689 = 8248^2 + 2117^2 .

It is a cyclic number.

It is not a de Polignac number, because 72511193 - 2² = 72511189 is a prime.

It is a super-2 number, since 2×72511193² = 10515746220566498, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72511693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36255596 + 36255597.

It is an arithmetic number, because the mean of its divisors is an integer number (36255597).

Almost surely, 2^72511193 is an apocalyptic number.

It is an amenable number.

72511193 is a deficient number, since it is larger than the sum of its proper divisors (1).

72511193 is an equidigital number, since it uses as much as digits as its factorization.

72511193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1890, while the sum is 29.

The square root of 72511193 is about 8515.3504331883. The cubic root of 72511193 is about 416.9990031931. Note that the first 3 decimals are identical.

The spelling of 72511193 in words is "seventy-two million, five hundred eleven thousand, one hundred ninety-three".