73537965 has 12 divisors (see below), whose sum is σ = 127465884. Its totient is φ = 39220224.

The previous prime is 73537963. The next prime is 73537979. The reversal of 73537965 is 56973537.

It can be written as a sum of positive squares in 2 ways, for example, as 49154121 + 24383844 = 7011^2 + 4938^2 .

It is not a de Polignac number, because 73537965 - 2¹ = 73537963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1634177 = 73537965 / (7 + 3 + 5 + 3 + 7 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 73537965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73537963) 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, 817044 + ... + 817133.

It is an arithmetic number, because the mean of its divisors is an integer number (10622157).

Almost surely, 2^73537965 is an apocalyptic number.

It is an amenable number.

73537965 is a deficient number, since it is larger than the sum of its proper divisors (53927919).

73537965 is a wasteful number, since it uses less digits than its factorization.

73537965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634188 (or 1634185 counting only the distinct ones).

The product of its digits is 595350, while the sum is 45.

The square root of 73537965 is about 8575.4279776580. The cubic root of 73537965 is about 418.9580464675.

The spelling of 73537965 in words is "seventy-three million, five hundred thirty-seven thousand, nine hundred sixty-five".