73248960 has 112 divisors (see below), whose sum is σ = 238365792. Its totient is φ = 19046400.

The previous prime is 73248947. The next prime is 73248961. The reversal of 73248960 is 6984237.

It is not an unprimeable number, because it can be changed into a prime (73248961) 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 15 ways as a sum of consecutive naturals, for example, 38430 + ... + 40290.

It is an arithmetic number, because the mean of its divisors is an integer number (2128266).

Almost surely, 2^73248960 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 73248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119182896).

73248960 is an abundant number, since it is smaller than the sum of its proper divisors (165116832).

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

73248960 is a wasteful number, since it uses less digits than its factorization.

73248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 73248960 is about 8558.5606266475. The cubic root of 73248960 is about 418.4084893602.

The spelling of 73248960 in words is "seventy-three million, two hundred forty-eight thousand, nine hundred sixty".