72071208 has 80 divisors (see below), whose sum is σ = 220239360. Its totient is φ = 21837600.

The previous prime is 72071203. The next prime is 72071231. The reversal of 72071208 is 80217027.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72071201) 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 19 ways as a sum of consecutive naturals, for example, 2073 + ... + 12183.

It is an arithmetic number, because the mean of its divisors is an integer number (2752992).

Almost surely, 2^72071208 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 72071208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110119680).

72071208 is an abundant number, since it is smaller than the sum of its proper divisors (148168152).

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

72071208 is a wasteful number, since it uses less digits than its factorization.

72071208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72071208 is about 8489.4763089368. The cubic root of 72071208 is about 416.1538662825.

The spelling of 72071208 in words is "seventy-two million, seventy-one thousand, two hundred eight".