73746000 has 240 divisors, whose sum is σ = 273853008. Its totient is φ = 18432000.

The previous prime is 73745963. The next prime is 73746007. The reversal of 73746000 is 64737.

It can be written as a sum of positive squares in 8 ways, for example, as 7551504 + 66194496 = 2748^2 + 8136^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73746007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305880 + ... + 306120.

Almost surely, 2^73746000 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 73746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136926504).

73746000 is an abundant number, since it is smaller than the sum of its proper divisors (200107008).

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

73746000 is a wasteful number, since it uses less digits than its factorization.

73746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

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

The square root of 73746000 is about 8587.5491264970. The cubic root of 73746000 is about 419.3527445337.

The spelling of 73746000 in words is "seventy-three million, seven hundred forty-six thousand".