72980418551040 has 3888 divisors, whose sum is σ = 367477560305856. Its totient is φ = 13171595673600.

The previous prime is 72980418551017. The next prime is 72980418551041. The reversal of 72980418551040 is 4015581408927.

72980418551040 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 0 + 4 + 1 + 85 + 510 + 40 = 666.

It is a super-2 number, since 2×72980418551040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72980418551041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17839259395 + ... + 17839263485.

It is an arithmetic number, because the mean of its divisors is an integer number (94515833412).

Almost surely, 2^{72980418551040} is an apocalyptic number.

72980418551040 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 72980418551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738780152928).

72980418551040 is an abundant number, since it is smaller than the sum of its proper divisors (294497141754816).

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

72980418551040 is a wasteful number, since it uses less digits than its factorization.

72980418551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

Adding to 72980418551040 its reverse (4015581408927), we get a palindrome (76995999959967).

The spelling of 72980418551040 in words is "seventy-two trillion, nine hundred eighty billion, four hundred eighteen million, five hundred fifty-one thousand, forty".