73057413 has 32 divisors (see below), whose sum is σ = 120476160. Its totient is φ = 38715840.

The previous prime is 73057349. The next prime is 73057429. The reversal of 73057413 is 31475037.

It is not a de Polignac number, because 73057413 - 2⁶ = 73057349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73057493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3670 + ... + 12632.

It is an arithmetic number, because the mean of its divisors is an integer number (3764880).

Almost surely, 2^73057413 is an apocalyptic number.

It is an amenable number.

73057413 is a deficient number, since it is larger than the sum of its proper divisors (47418747).

73057413 is a wasteful number, since it uses less digits than its factorization.

73057413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 73057413 is about 8547.3629266576. The cubic root of 73057413 is about 418.0434564070.

The spelling of 73057413 in words is "seventy-three million, fifty-seven thousand, four hundred thirteen".