73224480 has 384 divisors, whose sum is σ = 294174720. Its totient is φ = 14929920.

The previous prime is 73224467. The next prime is 73224521. The reversal of 73224480 is 8442237.

73224480 = T₄₃₅ + T₄₃₆ + ... + T₈₀₄.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1979022 + ... + 1979058.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 2^73224480 is an apocalyptic number.

73224480 is a gapful number since it is divisible by the number (70) 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 73224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

73224480 is an abundant number, since it is smaller than the sum of its proper divisors (220950240).

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

73224480 is a wasteful number, since it uses less digits than its factorization.

73224480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 73224480 is about 8557.1303601149. The cubic root of 73224480 is about 418.3618730849.

The spelling of 73224480 in words is "seventy-three million, two hundred twenty-four thousand, four hundred eighty".