72006157 has 2 divisors, whose sum is σ = 72006158. Its totient is φ = 72006156.

The previous prime is 72006133. The next prime is 72006191. The reversal of 72006157 is 75160027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71419401 + 586756 = 8451^2 + 766^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72006157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72006197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36003078 + 36003079.

It is an arithmetic number, because the mean of its divisors is an integer number (36003079).

Almost surely, 2^72006157 is an apocalyptic number.

It is an amenable number.

72006157 is a deficient number, since it is larger than the sum of its proper divisors (1).

72006157 is an equidigital number, since it uses as much as digits as its factorization.

72006157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 72006157 is about 8485.6441711870. The cubic root of 72006157 is about 416.0286226762.

The spelling of 72006157 in words is "seventy-two million, six thousand, one hundred fifty-seven".