72314319 has 48 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 37118400.

The previous prime is 72314303. The next prime is 72314321. The reversal of 72314319 is 91341327.

It is not a de Polignac number, because 72314319 - 2⁴ = 72314303 is a prime.

It is a super-2 number, since 2×72314319² = 10458721464867522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72314819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378514 + ... + 378704.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 2^72314319 is an apocalyptic number.

72314319 is a deficient number, since it is larger than the sum of its proper divisors (50258481).

72314319 is a wasteful number, since it uses less digits than its factorization.

72314319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 72314319 is about 8503.7826289246. The cubic root of 72314319 is about 416.6212653109.

The spelling of 72314319 in words is "seventy-two million, three hundred fourteen thousand, three hundred nineteen".