72284000 has 96 divisors (see below), whose sum is σ = 188225856. Its totient is φ = 27187200.

The previous prime is 72283993. The next prime is 72284011. The reversal of 72284000 is 48227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67469 + ... + 68531.

It is an arithmetic number, because the mean of its divisors is an integer number (1960686).

Almost surely, 2^72284000 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 72284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928).

72284000 is an abundant number, since it is smaller than the sum of its proper divisors (115941856).

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

72284000 is a wasteful number, since it uses less digits than its factorization.

72284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 72284000 is about 8501.9997647612. Note that the first 3 decimals coincide. The cubic root of 72284000 is about 416.5630320036.

The spelling of 72284000 in words is "seventy-two million, two hundred eighty-four thousand".