73549952 has 128 divisors (see below), whose sum is σ = 180956160. Its totient is φ = 29094912.

The previous prime is 73549951. The next prime is 73549967. The reversal of 73549952 is 25994537.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (73549951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886103 + ... + 886185.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 2^73549952 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 73549952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080).

73549952 is an abundant number, since it is smaller than the sum of its proper divisors (107406208).

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

73549952 is a wasteful number, since it uses less digits than its factorization.

73549952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its digits is 340200, while the sum is 44.

The square root of 73549952 is about 8576.1268647333. The cubic root of 73549952 is about 418.9808092098.

The spelling of 73549952 in words is "seventy-three million, five hundred forty-nine thousand, nine hundred fifty-two".