72457001 has 2 divisors, whose sum is σ = 72457002. Its totient is φ = 72457000.

The previous prime is 72456977. The next prime is 72457019. The reversal of 72457001 is 10075427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69973225 + 2483776 = 8365^2 + 1576^2 .

It is an emirp because it is prime and its reverse (10075427) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72457001 - 2¹⁴ = 72440617 is a prime.

It is a Chen prime.

It is equal to p_4254056 and since 72457001 and 4254056 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (72457031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36228500 + 36228501.

It is an arithmetic number, because the mean of its divisors is an integer number (36228501).

Almost surely, 2^72457001 is an apocalyptic number.

It is an amenable number.

72457001 is a deficient number, since it is larger than the sum of its proper divisors (1).

72457001 is an equidigital number, since it uses as much as digits as its factorization.

72457001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 72457001 is about 8512.1678202441. The cubic root of 72457001 is about 416.8950944447.

The spelling of 72457001 in words is "seventy-two million, four hundred fifty-seven thousand, one".