74286000 has 120 divisors (see below), whose sum is σ = 259519104. Its totient is φ = 19804800.

The previous prime is 74285993. The next prime is 74286011. The reversal of 74286000 is 68247.

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, 15937 + ... + 20063.

Almost surely, 2^74286000 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 74286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129759552).

74286000 is an abundant number, since it is smaller than the sum of its proper divisors (185233104).

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

74286000 is a wasteful number, since it uses less digits than its factorization.

74286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74286000 is about 8618.9326485360. The cubic root of 74286000 is about 420.3738168492.

The spelling of 74286000 in words is "seventy-four million, two hundred eighty-six thousand".