73842713 has 32 divisors (see below), whose sum is σ = 94906368. Its totient is φ = 55987200.

The previous prime is 73842707. The next prime is 73842767. The reversal of 73842713 is 31724837.

It is a cyclic number.

It is not a de Polignac number, because 73842713 - 2⁴ = 73842697 is a prime.

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 73842713 = 110³ + 417³ = 236³ + 393³.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73845713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136223 + ... + 136763.

It is an arithmetic number, because the mean of its divisors is an integer number (2965824).

Almost surely, 2^73842713 is an apocalyptic number.

It is an amenable number.

73842713 is a deficient number, since it is larger than the sum of its proper divisors (21063655).

73842713 is a wasteful number, since it uses less digits than its factorization.

73842713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633.

The product of its digits is 28224, while the sum is 35.

The square root of 73842713 is about 8593.1782828008. The cubic root of 73842713 is about 419.5359822490.

The spelling of 73842713 in words is "seventy-three million, eight hundred forty-two thousand, seven hundred thirteen".