72847908 has 108 divisors (see below), whose sum is σ = 218040732. Its totient is φ = 20442240.

The previous prime is 72847903. The next prime is 72847909. The reversal of 72847908 is 80974827.

It can be written as a sum of positive squares in 2 ways, for example, as 40220964 + 32626944 = 6342^2 + 5712^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (72847903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107266 + ... + 107942.

Almost surely, 2^72847908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72847908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109020366).

72847908 is an abundant number, since it is smaller than the sum of its proper divisors (145192824).

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

72847908 is a wasteful number, since it uses less digits than its factorization.

72847908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 72847908 is about 8535.0985934551. The cubic root of 72847908 is about 417.6434694037.

The spelling of 72847908 in words is "seventy-two million, eight hundred forty-seven thousand, nine hundred eight".