73366965 has 60 divisors (see below), whose sum is σ = 153030636. Its totient is φ = 33530112.

The previous prime is 73366939. The next prime is 73366973. The reversal of 73366965 is 56966337.

It can be written as a sum of positive squares in 2 ways, for example, as 15256836 + 58110129 = 3906^2 + 7623^2 .

It is not a de Polignac number, because 73366965 - 2⁹ = 73366453 is a prime.

It is a super-2 number, since 2×73366965² = 10765423106622450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 73366965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17997 + ... + 21693.

Almost surely, 2^73366965 is an apocalyptic number.

It is an amenable number.

73366965 is an abundant number, since it is smaller than the sum of its proper divisors (79663671).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73366965 is a wasteful number, since it uses less digits than its factorization.

73366965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3712 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 73366965 is about 8565.4518269616. The cubic root of 73366965 is about 418.6330559311.

The spelling of 73366965 in words is "seventy-three million, three hundred sixty-six thousand, nine hundred sixty-five".