72627601 has 2 divisors, whose sum is σ = 72627602. Its totient is φ = 72627600.

The previous prime is 72627589. The next prime is 72627613. The reversal of 72627601 is 10672627.

It is a balanced prime because it is at equal distance from previous prime (72627589) and next prime (72627613).

It can be written as a sum of positive squares in only one way, i.e., 63984001 + 8643600 = 7999^2 + 2940^2 .

It is a cyclic number.

It is not a de Polignac number, because 72627601 - 2⁹ = 72627089 is a prime.

It is not a weakly prime, because it can be changed into another prime (72627631) 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, 36313800 + 36313801.

It is an arithmetic number, because the mean of its divisors is an integer number (36313801).

Almost surely, 2^72627601 is an apocalyptic number.

It is an amenable number.

72627601 is a deficient number, since it is larger than the sum of its proper divisors (1).

72627601 is an equidigital number, since it uses as much as digits as its factorization.

72627601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 72627601 is about 8522.1828776435. The cubic root of 72627601 is about 417.2220311376. Note that the first 3 decimals are identical.

The spelling of 72627601 in words is "seventy-two million, six hundred twenty-seven thousand, six hundred one".