73129248 has 72 divisors (see below), whose sum is σ = 214695936. Its totient is φ = 23587200.

The previous prime is 73129207. The next prime is 73129297. The reversal of 73129248 is 84292137.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4833 + ... + 13023.

It is an arithmetic number, because the mean of its divisors is an integer number (2981888).

Almost surely, 2^73129248 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 73129248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107347968).

73129248 is an abundant number, since it is smaller than the sum of its proper divisors (141566688).

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

73129248 is a wasteful number, since it uses less digits than its factorization.

73129248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8238 (or 8227 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 73129248 is about 8551.5640674674. The cubic root of 73129248 is about 418.1804277436.

The spelling of 73129248 in words is "seventy-three million, one hundred twenty-nine thousand, two hundred forty-eight".