72345213 has 12 divisors (see below), whose sum is σ = 104644540. Its totient is φ = 48162816.

The previous prime is 72345209. The next prime is 72345223. The reversal of 72345213 is 31254327.

It can be written as a sum of positive squares in 2 ways, for example, as 54730404 + 17614809 = 7398^2 + 4197^2 .

It is not a de Polignac number, because 72345213 - 2² = 72345209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72345223) 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 11 ways as a sum of consecutive naturals, for example, 1695 + ... + 12147.

Almost surely, 2^72345213 is an apocalyptic number.

It is an amenable number.

72345213 is a deficient number, since it is larger than the sum of its proper divisors (32299327).

72345213 is a wasteful number, since it uses less digits than its factorization.

72345213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11228 (or 11225 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 72345213 is about 8505.5989207110. The cubic root of 72345213 is about 416.6805862728.

The spelling of 72345213 in words is "seventy-two million, three hundred forty-five thousand, two hundred thirteen".