73223444 has 72 divisors (see below), whose sum is σ = 160110720. Its totient is φ = 29139264.

The previous prime is 73223431. The next prime is 73223483. The reversal of 73223444 is 44432237.

73223444 = T₃₄₄ + T₃₄₅ + ... + T₇₈₂.

It is a super-3 number, since 3×73223444³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166577 + ... + 167015.

It is an arithmetic number, because the mean of its divisors is an integer number (2223760).

Almost surely, 2^73223444 is an apocalyptic number.

73223444 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73223444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80055360).

73223444 is an abundant number, since it is smaller than the sum of its proper divisors (86887276).

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

73223444 is a wasteful number, since it uses less digits than its factorization.

73223444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its digits is 16128, while the sum is 29.

The square root of 73223444 is about 8557.0698255887. The cubic root of 73223444 is about 418.3599000428.

The spelling of 73223444 in words is "seventy-three million, two hundred twenty-three thousand, four hundred forty-four".