72107627 has 2 divisors, whose sum is σ = 72107628. Its totient is φ = 72107626.

The previous prime is 72107597. The next prime is 72107677. The reversal of 72107627 is 72670127.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72107627 - 2¹⁰ = 72106603 is a prime.

It is a super-2 number, since 2×72107627² = 10399019743142258, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72107593 and 72107602.

It is not a weakly prime, because it can be changed into another prime (72107677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36053813 + 36053814.

It is an arithmetic number, because the mean of its divisors is an integer number (36053814).

Almost surely, 2^72107627 is an apocalyptic number.

72107627 is a deficient number, since it is larger than the sum of its proper divisors (1).

72107627 is an equidigital number, since it uses as much as digits as its factorization.

72107627 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 72107627 is about 8491.6209877738. The cubic root of 72107627 is about 416.2239513920.

Subtracting 72107627 from its reverse (72670127), we obtain a square (562500 = 750²).

The spelling of 72107627 in words is "seventy-two million, one hundred seven thousand, six hundred twenty-seven".