72283415880 has 384 divisors, whose sum is σ = 252213937920. Its totient is φ = 16504750080.

The previous prime is 72283415879. The next prime is 72283415881. The reversal of 72283415880 is 8851438227.

It is an interprime number because it is at equal distance from previous prime (72283415879) and next prime (72283415881).

It is a super-2 number, since 2×72283415880² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72283415881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24476484 + ... + 24479436.

It is an arithmetic number, because the mean of its divisors is an integer number (656807130).

Almost surely, 2^72283415880 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 72283415880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126106968960).

72283415880 is an abundant number, since it is smaller than the sum of its proper divisors (179930522040).

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

72283415880 is a wasteful number, since it uses less digits than its factorization.

72283415880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 72283415880 in words is "seventy-two billion, two hundred eighty-three million, four hundred fifteen thousand, eight hundred eighty".