72686485844280 has 1536 divisors, whose sum is σ = 314559977472000. Its totient is φ = 14100831682560.

The previous prime is 72686485844209. The next prime is 72686485844293. The reversal of 72686485844280 is 8244858468627.

72686485844280 is a `hidden beast` number, since 7 + 2 + 6 + 86 + 48 + 5 + 84 + 428 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72686485844199 and 72686485844208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10653152949 + ... + 10653159771.

It is an arithmetic number, because the mean of its divisors is an integer number (204791652000).

Almost surely, 2^{72686485844280} is an apocalyptic number.

72686485844280 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 72686485844280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157279988736000).

72686485844280 is an abundant number, since it is smaller than the sum of its proper divisors (241873491627720).

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

72686485844280 is a wasteful number, since it uses less digits than its factorization.

72686485844280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 1321205760, while the sum is 72.

The spelling of 72686485844280 in words is "seventy-two trillion, six hundred eighty-six billion, four hundred eighty-five million, eight hundred forty-four thousand, two hundred eighty".