73674000 has 120 divisors (see below), whose sum is σ = 257381592. Its totient is φ = 19641600.

The previous prime is 73673987. The next prime is 73674017. The reversal of 73674000 is 47637.

It can be written as a sum of positive squares in 4 ways, for example, as 4717584 + 68956416 = 2172^2 + 8304^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15954 + ... + 20046.

Almost surely, 2^73674000 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 73674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128690796).

73674000 is an abundant number, since it is smaller than the sum of its proper divisors (183707592).

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

73674000 is a wasteful number, since it uses less digits than its factorization.

73674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 73674000 is about 8583.3559870251. The cubic root of 73674000 is about 419.2162253592.

The spelling of 73674000 in words is "seventy-three million, six hundred seventy-four thousand".