73157 has 6 divisors (see below), whose sum is σ = 85158. Its totient is φ = 62664.

The previous prime is 73141. The next prime is 73181. The reversal of 73157 is 75137.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 2401 = 266^2 + 49^2 .

It is not a de Polignac number, because 73157 - 2⁴ = 73141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73157.

It is not an unprimeable number, because it can be changed into a prime (73127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 698 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (14193).

2⁷³¹⁵⁷ is an apocalyptic number.

It is an amenable number.

73157 is a deficient number, since it is larger than the sum of its proper divisors (12001).

73157 is a wasteful number, since it uses less digits than its factorization.

73157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1500 counting only the distinct ones).

The product of its digits is 735, while the sum is 23.

The square root of 73157 is about 270.4755072091. The cubic root of 73157 is about 41.8233319830.

The spelling of 73157 in words is "seventy-three thousand, one hundred fifty-seven".