72671808 has 112 divisors (see below), whose sum is σ = 220919040. Its totient is φ = 20851200.

The previous prime is 72671777. The next prime is 72671831. The reversal of 72671808 is 80817627.

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, 39223 + ... + 41033.

Almost surely, 2^72671808 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 72671808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110459520).

72671808 is an abundant number, since it is smaller than the sum of its proper divisors (148247232).

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

72671808 is a wasteful number, since it uses less digits than its factorization.

72671808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 72671808 is about 8524.7761260927. The cubic root of 72671808 is about 417.3066655977.

The spelling of 72671808 in words is "seventy-two million, six hundred seventy-one thousand, eight hundred eight".