72883722240 has 480 divisors, whose sum is σ = 298581323040. Its totient is φ = 16657809408.

The previous prime is 72883722167. The next prime is 72883722251. The reversal of 72883722240 is 4222738827.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5799804 + ... + 5812356.

It is an arithmetic number, because the mean of its divisors is an integer number (622044423).

Almost surely, 2^72883722240 is an apocalyptic number.

72883722240 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 72883722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149290661520).

72883722240 is an abundant number, since it is smaller than the sum of its proper divisors (225697600800).

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

72883722240 is a wasteful number, since it uses less digits than its factorization.

72883722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 72883722240 in words is "seventy-two billion, eight hundred eighty-three million, seven hundred twenty-two thousand, two hundred forty".