72811678410 has 80 divisors (see below), whose sum is σ = 195884903016. Its totient is φ = 19406293632.

The previous prime is 72811678361. The next prime is 72811678417. The reversal of 72811678410 is 1487611827.

72811678410 is a `hidden beast` number, since 72 + 8 + 1 + 167 + 8 + 410 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15787671201 + 57024007209 = 125649^2 + 238797^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72811678417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1595064 + ... + 1640076.

Almost surely, 2^72811678410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72811678410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97942451508).

72811678410 is an abundant number, since it is smaller than the sum of its proper divisors (123073224606).

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

72811678410 is a wasteful number, since it uses less digits than its factorization.

72811678410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47029 (or 47020 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 72811678410 in words is "seventy-two billion, eight hundred eleven million, six hundred seventy-eight thousand, four hundred ten".