72827076810 has 32 divisors (see below), whose sum is σ = 174845278080. Its totient is φ = 19413854528.

The previous prime is 72827076793. The next prime is 72827076937. The reversal of 72827076810 is 1867072827.

It is a happy number.

It is a super-2 number, since 2×72827076810² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72827076810.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329982 + ... + 504521.

It is an arithmetic number, because the mean of its divisors is an integer number (5463914940).

Almost surely, 2^72827076810 is an apocalyptic number.

72827076810 is an abundant number, since it is smaller than the sum of its proper divisors (102018201270).

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

72827076810 is a wasteful number, since it uses less digits than its factorization.

72827076810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837422.

The product of its (nonzero) digits is 526848, while the sum is 48.

The spelling of 72827076810 in words is "seventy-two billion, eight hundred twenty-seven million, seventy-six thousand, eight hundred ten".