73753504 has 48 divisors (see below), whose sum is σ = 159376896. Its totient is φ = 33318400.

The previous prime is 73753501. The next prime is 73753513. The reversal of 73753504 is 40535737.

It is a self number, because there is not a number n which added to its sum of digits gives 73753504.

It is not an unprimeable number, because it can be changed into a prime (73753501) 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, 66684 + ... + 67780.

It is an arithmetic number, because the mean of its divisors is an integer number (3320352).

Almost surely, 2^73753504 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 73753504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79688448).

73753504 is an abundant number, since it is smaller than the sum of its proper divisors (85623392).

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

73753504 is a wasteful number, since it uses less digits than its factorization.

73753504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 34.

The square root of 73753504 is about 8587.9860270031. The cubic root of 73753504 is about 419.3669677515.

The spelling of 73753504 in words is "seventy-three million, seven hundred fifty-three thousand, five hundred four".