73056480 has 192 divisors, whose sum is σ = 278691840. Its totient is φ = 15704064.

The previous prime is 73056479. The next prime is 73056509. The reversal of 73056480 is 8465037.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56481 + ... + 57759.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^73056480 is an apocalyptic number.

73056480 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 73056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

73056480 is an abundant number, since it is smaller than the sum of its proper divisors (205635360).

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

73056480 is a wasteful number, since it uses less digits than its factorization.

73056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 73056480 is about 8547.3083482462. The cubic root of 73056480 is about 418.0416768194.

It can be divided in two parts, 73056 and 480, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 73056480 in words is "seventy-three million, fifty-six thousand, four hundred eighty".