73557 has 12 divisors (see below), whose sum is σ = 116064. Its totient is φ = 44520.

The previous prime is 73553. The next prime is 73561. The reversal of 73557 is 75537.

73557 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (73553) and next prime (73561).

It is not a de Polignac number, because 73557 - 2² = 73553 is a prime.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 73557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2⁷³⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

73557 is a deficient number, since it is larger than the sum of its proper divisors (42507).

73557 is a wasteful number, since it uses less digits than its factorization.

73557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 757 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 73557 is about 271.2139376949. The cubic root of 73557 is about 41.8994191872.

It can be divided in two parts, 73 and 557, that added together give a triangular number (630 = T₃₅).

The spelling of 73557 in words is "seventy-three thousand, five hundred fifty-seven".