72107808 has 24 divisors (see below), whose sum is σ = 189283248. Its totient is φ = 24035904.

The previous prime is 72107801. The next prime is 72107821. The reversal of 72107808 is 80870127.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (72107801) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375466 + ... + 375657.

It is an arithmetic number, because the mean of its divisors is an integer number (7886802).

Almost surely, 2^72107808 is an apocalyptic number.

It is an amenable number.

72107808 is an abundant number, since it is smaller than the sum of its proper divisors (117175440).

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

72107808 is a wasteful number, since it uses less digits than its factorization.

72107808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751136 (or 751128 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 72107808 is about 8491.6316453318. The cubic root of 72107808 is about 416.2242996514.

It can be divided in two parts, 72 and 107808, that added together give a triangular number (107880 = T₄₆₄).

The spelling of 72107808 in words is "seventy-two million, one hundred seven thousand, eight hundred eight".