72628681 has 2 divisors, whose sum is σ = 72628682. Its totient is φ = 72628680.

The previous prime is 72628643. The next prime is 72628693. The reversal of 72628681 is 18682627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38007225 + 34621456 = 6165^2 + 5884^2 .

It is a cyclic number.

It is not a de Polignac number, because 72628681 - 2⁹ = 72628169 is a prime.

It is a super-2 number, since 2×72628681² = 10549850607599522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72628631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36314340 + 36314341.

It is an arithmetic number, because the mean of its divisors is an integer number (36314341).

Almost surely, 2^72628681 is an apocalyptic number.

It is an amenable number.

72628681 is a deficient number, since it is larger than the sum of its proper divisors (1).

72628681 is an equidigital number, since it uses as much as digits as its factorization.

72628681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 64512, while the sum is 40.

The square root of 72628681 is about 8522.2462414554. The cubic root of 72628681 is about 417.2240992107.

The spelling of 72628681 in words is "seventy-two million, six hundred twenty-eight thousand, six hundred eighty-one".