73286048 has 96 divisors (see below), whose sum is σ = 171678528. Its totient is φ = 30412800.

The previous prime is 73285999. The next prime is 73286063. The reversal of 73286048 is 84068237.

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, 221243 + ... + 221573.

It is an arithmetic number, because the mean of its divisors is an integer number (1788318).

Almost surely, 2^73286048 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 73286048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85839264).

73286048 is an abundant number, since it is smaller than the sum of its proper divisors (98392480).

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

73286048 is a wasteful number, since it uses less digits than its factorization.

73286048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 73286048 is about 8560.7270719256. The cubic root of 73286048 is about 418.4790947574.

The spelling of 73286048 in words is "seventy-three million, two hundred eighty-six thousand, forty-eight".