73328544 has 48 divisors (see below), whose sum is σ = 213877440. Its totient is φ = 24442560.

The previous prime is 73328539. The next prime is 73328579. The reversal of 73328544 is 44582337.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 73328499 and 73328508.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41572 + ... + 43299.

It is an arithmetic number, because the mean of its divisors is an integer number (4455780).

Almost surely, 2^73328544 is an apocalyptic number.

It is an amenable number.

73328544 is an abundant number, since it is smaller than the sum of its proper divisors (140548896).

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

73328544 is a wasteful number, since it uses less digits than its factorization.

73328544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84890 (or 84876 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 73328544 is about 8563.2087443902. The cubic root of 73328544 is about 418.5599662276.

It can be divided in two parts, 7332 and 8544, that added together give a square (15876 = 126²).

The spelling of 73328544 in words is "seventy-three million, three hundred twenty-eight thousand, five hundred forty-four".