72365786880 has 288 divisors, whose sum is σ = 243681951744. Its totient is φ = 18266062848.

The previous prime is 72365786879. The next prime is 72365786893. The reversal of 72365786880 is 8868756327.

It is a super-2 number, since 2×72365786880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8562817 + ... + 8571263.

It is an arithmetic number, because the mean of its divisors is an integer number (846117888).

Almost surely, 2^72365786880 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 72365786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121840975872).

72365786880 is an abundant number, since it is smaller than the sum of its proper divisors (171316164864).

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

72365786880 is a wasteful number, since it uses less digits than its factorization.

72365786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8577 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 72365786880 in words is "seventy-two billion, three hundred sixty-five million, seven hundred eighty-six thousand, eight hundred eighty".