73365408 has 36 divisors (see below), whose sum is σ = 208633698. Its totient is φ = 24455040.

The previous prime is 73365407. The next prime is 73365419. The reversal of 73365408 is 80456337.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 53758224 + 19607184 = 7332^2 + 4428^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73365407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127083 + ... + 127658.

Almost surely, 2^73365408 is an apocalyptic number.

It is an amenable number.

73365408 is an abundant number, since it is smaller than the sum of its proper divisors (135268290).

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

73365408 is a wasteful number, since it uses less digits than its factorization.

73365408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254757 (or 254746 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 73365408 is about 8565.3609381041. The cubic root of 73365408 is about 418.6300944879.

The spelling of 73365408 in words is "seventy-three million, three hundred sixty-five thousand, four hundred eight".