73200382480 has 80 divisors (see below), whose sum is σ = 178288588800. Its totient is φ = 27912568320.

The previous prime is 73200382469. The next prime is 73200382571. The reversal of 73200382480 is 8428300237.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16416 + ... + 382975.

It is an arithmetic number, because the mean of its divisors is an integer number (2228607360).

Almost surely, 2^73200382480 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 73200382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89144294400).

73200382480 is an abundant number, since it is smaller than the sum of its proper divisors (105088206320).

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

73200382480 is a wasteful number, since it uses less digits than its factorization.

73200382480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399512 (or 399506 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 73200382480 in words is "seventy-three billion, two hundred million, three hundred eighty-two thousand, four hundred eighty".