73057280 has 88 divisors (see below), whose sum is σ = 184721280. Its totient is φ = 27648000.

The previous prime is 73057249. The next prime is 73057289. The reversal of 73057280 is 8275037.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (73057289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96905 + ... + 97655.

Almost surely, 2^73057280 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 73057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92360640).

73057280 is an abundant number, since it is smaller than the sum of its proper divisors (111664000).

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

73057280 is a wasteful number, since it uses less digits than its factorization.

73057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 73057280 is about 8547.3551464766. The cubic root of 73057280 is about 418.0432027261.

It can be divided in two parts, 73057 and 280, that added together give a palindrome (73337).

The spelling of 73057280 in words is "seventy-three million, fifty-seven thousand, two hundred eighty".