72404213 has 24 divisors (see below), whose sum is σ = 87796800. Its totient is φ = 59682000.

The previous prime is 72404179. The next prime is 72404257. The reversal of 72404213 is 31240427.

It is not a de Polignac number, because 72404213 - 2¹⁴ = 72387829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72404263) 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 in 23 ways as a sum of consecutive naturals, for example, 288338 + ... + 288588.

It is an arithmetic number, because the mean of its divisors is an integer number (3658200).

Almost surely, 2^72404213 is an apocalyptic number.

It is an amenable number.

72404213 is a deficient number, since it is larger than the sum of its proper divisors (15392587).

72404213 is an equidigital number, since it uses as much as digits as its factorization.

72404213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 72404213 is about 8509.0665175447. The cubic root of 72404213 is about 416.7938279259.

The spelling of 72404213 in words is "seventy-two million, four hundred four thousand, two hundred thirteen".