73522944 has 144 divisors (see below), whose sum is σ = 237431040. Its totient is φ = 22256640.

The previous prime is 73522937. The next prime is 73523003. The reversal of 73522944 is 44922537.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 73522899 and 73522908.

It is a congruent number.

It is an unprimeable number.

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, 75549 + ... + 76515.

Almost surely, 2^73522944 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 73522944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118715520).

73522944 is an abundant number, since it is smaller than the sum of its proper divisors (163908096).

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

73522944 is a wasteful number, since it uses less digits than its factorization.

73522944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 983 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 73522944 is about 8574.5521165831. The cubic root of 73522944 is about 418.9295188113.

It can be divided in two parts, 7352 and 2944, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 73522944 in words is "seventy-three million, five hundred twenty-two thousand, nine hundred forty-four".