73537313 has 8 divisors (see below), whose sum is σ = 75559176. Its totient is φ = 71526400.

The previous prime is 73537309. The next prime is 73537339. The reversal of 73537313 is 31373537.

It can be written as a sum of positive squares in 4 ways, for example, as 1423249 + 72114064 = 1193^2 + 8492^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73537313 - 2² = 73537309 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73537313.

It is not an unprimeable number, because it can be changed into a prime (73537913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11933 + ... + 17013.

It is an arithmetic number, because the mean of its divisors is an integer number (9444897).

Almost surely, 2^73537313 is an apocalyptic number.

It is an amenable number.

73537313 is a deficient number, since it is larger than the sum of its proper divisors (2021863).

73537313 is a wasteful number, since it uses less digits than its factorization.

73537313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475.

The product of its digits is 19845, while the sum is 32.

The square root of 73537313 is about 8575.3899619784. The cubic root of 73537313 is about 418.9568082796.

The spelling of 73537313 in words is "seventy-three million, five hundred thirty-seven thousand, three hundred thirteen".