73486224 has 160 divisors (see below), whose sum is σ = 253952000. Its totient is φ = 19875456.

The previous prime is 73486201. The next prime is 73486229. The reversal of 73486224 is 42268437.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73486229) 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 31 ways as a sum of consecutive naturals, for example, 56817 + ... + 58095.

It is an arithmetic number, because the mean of its divisors is an integer number (1587200).

Almost surely, 2^73486224 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 73486224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126976000).

73486224 is an abundant number, since it is smaller than the sum of its proper divisors (180465776).

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

73486224 is a wasteful number, since it uses less digits than its factorization.

73486224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1310 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 73486224 is about 8572.4106294554. The cubic root of 73486224 is about 418.8597643793.

The spelling of 73486224 in words is "seventy-three million, four hundred eighty-six thousand, two hundred twenty-four".