73537 has 4 divisors (see below), whose sum is σ = 74176. Its totient is φ = 72900.

The previous prime is 73529. The next prime is 73547.

73537 is nontrivially palindromic in base 10.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 73537 - 2³ = 73529 is a prime.

It is a d-powerful number, because it can be written as 7⁴ + 3⁸ + 5⁵ + 3¹⁰ + 7⁴ .

It is a pancake number, because a pancake can be divided into 73537 parts by 383 straight cuts.

It is a Duffinian number.

73537 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (73517) 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, 93 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (18544).

2⁷³⁵³⁷ is an apocalyptic number.

It is an amenable number.

73537 is a deficient number, since it is larger than the sum of its proper divisors (639).

73537 is a wasteful number, since it uses less digits than its factorization.

73537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638.

The product of its digits is 2205, while the sum is 25.

The square root of 73537 is about 271.1770639269. The cubic root of 73537 is about 41.8956213871.

The spelling of 73537 in words is "seventy-three thousand, five hundred thirty-seven".