10072157 has 2 divisors, whose sum is σ = 10072158. Its totient is φ = 10072156.

The previous prime is 10072141. The next prime is 10072169. The reversal of 10072157 is 75127001.

It is a happy number.

10072157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7958041 + 2114116 = 2821^2 + 1454^2 .

It is a cyclic number.

It is not a de Polignac number, because 10072157 - 2⁴ = 10072141 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10072057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036078 + 5036079.

It is an arithmetic number, because the mean of its divisors is an integer number (5036079).

Almost surely, 2^10072157 is an apocalyptic number.

It is an amenable number.

10072157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072157 is an equidigital number, since it uses as much as digits as its factorization.

10072157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 10072157 is about 3173.6661765220. Note that the first 3 decimals coincide. The cubic root of 10072157 is about 215.9604194165.

Adding to 10072157 its reverse (75127001), we get a palindrome (85199158).

The spelling of 10072157 in words is "ten million, seventy-two thousand, one hundred fifty-seven".