72444008 has 64 divisors (see below), whose sum is σ = 168376320. Its totient is φ = 28454400.

The previous prime is 72443989. The next prime is 72444011. The reversal of 72444008 is 80044427.

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, 138788 + ... + 139308.

It is an arithmetic number, because the mean of its divisors is an integer number (2630880).

Almost surely, 2^72444008 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 72444008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84188160).

72444008 is an abundant number, since it is smaller than the sum of its proper divisors (95932312).

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

72444008 is a wasteful number, since it uses less digits than its factorization.

72444008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 72444008 is about 8511.4045844385. The cubic root of 72444008 is about 416.8701737253.

The spelling of 72444008 in words is "seventy-two million, four hundred forty-four thousand, eight".