72406319 has 2 divisors, whose sum is σ = 72406320. Its totient is φ = 72406318.

The previous prime is 72406303. The next prime is 72406333. The reversal of 72406319 is 91360427.

It is a strong prime.

It is an emirp because it is prime and its reverse (91360427) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72406319 - 2⁴ = 72406303 is a prime.

It is a super-2 number, since 2×72406319² = 10485350062259522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72406379) 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, 36203159 + 36203160.

It is an arithmetic number, because the mean of its divisors is an integer number (36203160).

Almost surely, 2^72406319 is an apocalyptic number.

72406319 is a deficient number, since it is larger than the sum of its proper divisors (1).

72406319 is an equidigital number, since it uses as much as digits as its factorization.

72406319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 72406319 is about 8509.1902669996. The cubic root of 72406319 is about 416.7978689398.

The spelling of 72406319 in words is "seventy-two million, four hundred six thousand, three hundred nineteen".