72979601 has 2 divisors, whose sum is σ = 72979602. Its totient is φ = 72979600.

The previous prime is 72979597. The next prime is 72979603. The reversal of 72979601 is 10697927.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45427600 + 27552001 = 6740^2 + 5249^2 .

It is a cyclic number.

It is not a de Polignac number, because 72979601 - 2² = 72979597 is a prime.

Together with 72979603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72979603) 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, 36489800 + 36489801.

It is an arithmetic number, because the mean of its divisors is an integer number (36489801).

Almost surely, 2^72979601 is an apocalyptic number.

It is an amenable number.

72979601 is a deficient number, since it is larger than the sum of its proper divisors (1).

72979601 is an equidigital number, since it uses as much as digits as its factorization.

72979601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47628, while the sum is 41.

The square root of 72979601 is about 8542.8099007294. The cubic root of 72979601 is about 417.8949870890.

The spelling of 72979601 in words is "seventy-two million, nine hundred seventy-nine thousand, six hundred one".