72580342940 has 24 divisors (see below), whose sum is σ = 174192823392. Its totient is φ = 24884688960.

The previous prime is 72580342903. The next prime is 72580342943. The reversal of 72580342940 is 4924308527.

It is a junction number, because it is equal to n+sod(n) for n = 72580342891 and 72580342900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72580342943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259215371 + ... + 259215650.

It is an arithmetic number, because the mean of its divisors is an integer number (7258034308).

Almost surely, 2^72580342940 is an apocalyptic number.

72580342940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72580342940 is an abundant number, since it is smaller than the sum of its proper divisors (101612480452).

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

72580342940 is a wasteful number, since it uses less digits than its factorization.

72580342940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518431037 (or 518431035 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 72580342940 in words is "seventy-two billion, five hundred eighty million, three hundred forty-two thousand, nine hundred forty".