72467413 has 8 divisors (see below), whose sum is σ = 76858200. Its totient is φ = 68090880.

The previous prime is 72467363. The next prime is 72467419. The reversal of 72467413 is 31476427.

It can be written as a sum of positive squares in 4 ways, for example, as 51509329 + 20958084 = 7177^2 + 4578^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72467413 - 2¹³ = 72459221 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 (72467419) 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 7 ways as a sum of consecutive naturals, for example, 8013 + ... + 14461.

It is an arithmetic number, because the mean of its divisors is an integer number (9607275).

Almost surely, 2^72467413 is an apocalyptic number.

It is an amenable number.

72467413 is a deficient number, since it is larger than the sum of its proper divisors (4390787).

72467413 is a wasteful number, since it uses less digits than its factorization.

72467413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7127.

The product of its digits is 28224, while the sum is 34.

The square root of 72467413 is about 8512.7793933591. The cubic root of 72467413 is about 416.9150626270.

The spelling of 72467413 in words is "seventy-two million, four hundred sixty-seven thousand, four hundred thirteen".