72001608 has 64 divisors (see below), whose sum is σ = 210524160. Its totient is φ = 20091456.

The previous prime is 72001591. The next prime is 72001639. The reversal of 72001608 is 80610027.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2241 + ... + 12207.

It is an arithmetic number, because the mean of its divisors is an integer number (3289440).

Almost surely, 2^72001608 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 72001608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105262080).

72001608 is an abundant number, since it is smaller than the sum of its proper divisors (138522552).

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

72001608 is a wasteful number, since it uses less digits than its factorization.

72001608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 72001608 is about 8485.3761260182. The cubic root of 72001608 is about 416.0198616010.

The spelling of 72001608 in words is "seventy-two million, one thousand, six hundred eight".