73285760 has 64 divisors (see below), whose sum is σ = 179340480. Its totient is φ = 28621824.

The previous prime is 73285733. The next prime is 73285769. The reversal of 73285760 is 6758237.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73285769) 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, 26189 + ... + 28851.

It is an arithmetic number, because the mean of its divisors is an integer number (2802195).

Almost surely, 2^73285760 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 73285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89670240).

73285760 is an abundant number, since it is smaller than the sum of its proper divisors (106054720).

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

73285760 is a wasteful number, since it uses less digits than its factorization.

73285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 73285760 is about 8560.7102509079. The cubic root of 73285760 is about 418.4785465760.

The spelling of 73285760 in words is "seventy-three million, two hundred eighty-five thousand, seven hundred sixty".