72369982080 has 768 divisors, whose sum is σ = 290150864640. Its totient is φ = 16447242240.

The previous prime is 72369982079. The next prime is 72369982121. The reversal of 72369982080 is 8028996327.

It is a happy number.

72369982080 is a `hidden beast` number, since 72 + 369 + 9 + 8 + 208 + 0 = 666.

It is a super-2 number, since 2×72369982080² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77235372 + ... + 77236308.

It is an arithmetic number, because the mean of its divisors is an integer number (377800605).

Almost surely, 2^72369982080 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 72369982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145075432320).

72369982080 is an abundant number, since it is smaller than the sum of its proper divisors (217780882560).

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

72369982080 is a wasteful number, since it uses less digits than its factorization.

72369982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 72369982080 in words is "seventy-two billion, three hundred sixty-nine million, nine hundred eighty-two thousand, eighty".