73248160 has 48 divisors (see below), whose sum is σ = 177740136. Its totient is φ = 28505088.

The previous prime is 73248143. The next prime is 73248167. The reversal of 73248160 is 6184237.

It can be written as a sum of positive squares in 4 ways, for example, as 69422224 + 3825936 = 8332^2 + 1956^2 .

It is not an unprimeable number, because it can be changed into a prime (73248167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 12106.

Almost surely, 2^73248160 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 73248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88870068).

73248160 is an abundant number, since it is smaller than the sum of its proper divisors (104491976).

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

73248160 is a wasteful number, since it uses less digits than its factorization.

73248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425 (or 12417 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 73248160 is about 8558.5138896890. The cubic root of 73248160 is about 418.4069661167.

The spelling of 73248160 in words is "seventy-three million, two hundred forty-eight thousand, one hundred sixty".