72627733 has 2 divisors, whose sum is σ = 72627734. Its totient is φ = 72627732.

The previous prime is 72627727. The next prime is 72627809. The reversal of 72627733 is 33772627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72624484 + 3249 = 8522^2 + 57^2 .

It is a cyclic number.

It is not a de Polignac number, because 72627733 - 2⁵ = 72627701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72627692 and 72627701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72627703) 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, 36313866 + 36313867.

It is an arithmetic number, because the mean of its divisors is an integer number (36313867).

Almost surely, 2^72627733 is an apocalyptic number.

It is an amenable number.

72627733 is a deficient number, since it is larger than the sum of its proper divisors (1).

72627733 is an equidigital number, since it uses as much as digits as its factorization.

72627733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 74088, while the sum is 37.

The square root of 72627733 is about 8522.1906221347. The cubic root of 72627733 is about 417.2222839032. Note that the first 4 decimals are identical.

The spelling of 72627733 in words is "seventy-two million, six hundred twenty-seven thousand, seven hundred thirty-three".