73132224 has 112 divisors (see below), whose sum is σ = 218090496. Its totient is φ = 21427200.

The previous prime is 73132187. The next prime is 73132231. The reversal of 73132224 is 42223137.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 73132194 and 73132203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64914 + ... + 66030.

Almost surely, 2^73132224 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 73132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109045248).

73132224 is an abundant number, since it is smaller than the sum of its proper divisors (144958272).

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

73132224 is a wasteful number, since it uses less digits than its factorization.

73132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1164 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 73132224 is about 8551.7380689542. The cubic root of 73132224 is about 418.1861002941.

The spelling of 73132224 in words is "seventy-three million, one hundred thirty-two thousand, two hundred twenty-four".