73321248 has 288 divisors, whose sum is σ = 265446720. Its totient is φ = 17418240.

The previous prime is 73321219. The next prime is 73321301. The reversal of 73321248 is 84212337.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672618 + ... + 672726.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 2^73321248 is an apocalyptic number.

73321248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73321248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

73321248 is an abundant number, since it is smaller than the sum of its proper divisors (192125472).

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

73321248 is a wasteful number, since it uses less digits than its factorization.

73321248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 73321248 is about 8562.7827252594. The cubic root of 73321248 is about 418.5460838900.

The spelling of 73321248 in words is "seventy-three million, three hundred twenty-one thousand, two hundred forty-eight".