73057 has 4 divisors (see below), whose sum is σ = 74800. Its totient is φ = 71316.

The previous prime is 73043. The next prime is 73061. The reversal of 73057 is 75037.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 73057 - 2¹⁵ = 40289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 807 + ... + 892.

It is an arithmetic number, because the mean of its divisors is an integer number (18700).

2⁷³⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

73057 is a deficient number, since it is larger than the sum of its proper divisors (1743).

73057 is a wasteful number, since it uses less digits than its factorization.

73057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742.

The product of its (nonzero) digits is 735, while the sum is 22.

The square root of 73057 is about 270.2905843717. The cubic root of 73057 is about 41.8042668660.

It can be divided in two parts, 730 and 57, that added together give a palindrome (787).

The spelling of 73057 in words is "seventy-three thousand, fifty-seven".