72680407 has 2 divisors, whose sum is σ = 72680408. Its totient is φ = 72680406.

The previous prime is 72680353. The next prime is 72680411. The reversal of 72680407 is 70408627.

It is a strong prime.

It is an emirp because it is prime and its reverse (70408627) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72680407 is a prime.

It is equal to p_4266358 and since 72680407 and 4266358 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72680477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36340203 + 36340204.

It is an arithmetic number, because the mean of its divisors is an integer number (36340204).

Almost surely, 2^72680407 is an apocalyptic number.

72680407 is a deficient number, since it is larger than the sum of its proper divisors (1).

72680407 is an equidigital number, since it uses as much as digits as its factorization.

72680407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 72680407 is about 8525.2804645947. The cubic root of 72680407 is about 417.3231244263.

The spelling of 72680407 in words is "seventy-two million, six hundred eighty thousand, four hundred seven".