73665000 has 120 divisors (see below), whose sum is σ = 249459210. Its totient is φ = 19632000.

The previous prime is 73664999. The next prime is 73665019. The reversal of 73665000 is 56637.

73665000 is a `hidden beast` number, since 7 + 3 + 6 + 650 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2802276 + 70862724 = 1674^2 + 8418^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44182 + ... + 45818.

Almost surely, 2^73665000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124729605).

73665000 is an abundant number, since it is smaller than the sum of its proper divisors (175794210).

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

73665000 is a wasteful number, since it uses less digits than its factorization.

73665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 73665000 is about 8582.8317005520. The cubic root of 73665000 is about 419.1991542094.

The spelling of 73665000 in words is "seventy-three million, six hundred sixty-five thousand".