72805519710 has 768 divisors, whose sum is σ = 263323146240. Its totient is φ = 13959475200.

The previous prime is 72805519667. The next prime is 72805519757. The reversal of 72805519710 is 1791550827.

72805519710 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 551 + 97 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 237151377 + ... + 237151683.

It is an arithmetic number, because the mean of its divisors is an integer number (342868680).

Almost surely, 2^72805519710 is an apocalyptic number.

72805519710 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72805519710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131661573120).

72805519710 is an abundant number, since it is smaller than the sum of its proper divisors (190517626530).

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

72805519710 is a wasteful number, since it uses less digits than its factorization.

72805519710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 72805519710 in words is "seventy-two billion, eight hundred five million, five hundred nineteen thousand, seven hundred ten".