73288848 has 40 divisors (see below), whose sum is σ = 189720000. Its totient is φ = 24379264.

The previous prime is 73288843. The next prime is 73288889. The reversal of 73288848 is 84888237.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 73288797 and 73288806.

It is not an unprimeable number, because it can be changed into a prime (73288841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27478 + ... + 30026.

It is an arithmetic number, because the mean of its divisors is an integer number (4743000).

Almost surely, 2^73288848 is an apocalyptic number.

It is an amenable number.

73288848 is an abundant number, since it is smaller than the sum of its proper divisors (116431152).

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

73288848 is a wasteful number, since it uses less digits than its factorization.

73288848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3153 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 73288848 is about 8560.8906078749. The cubic root of 73288848 is about 418.4844242236.

The spelling of 73288848 in words is "seventy-three million, two hundred eighty-eight thousand, eight hundred forty-eight".