72147208 has 72 divisors (see below), whose sum is σ = 163641870. Its totient is φ = 29715840.

The previous prime is 72147197. The next prime is 72147217. The reversal of 72147208 is 80274127.

It can be written as a sum of positive squares in only one way, i.e., 71267364 + 879844 = 8442^2 + 938^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72147208.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1076791 + ... + 1076857.

Almost surely, 2^72147208 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 72147208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81820935).

72147208 is an abundant number, since it is smaller than the sum of its proper divisors (91494662).

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

72147208 is a wasteful number, since it uses less digits than its factorization.

72147208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 72147208 is about 8493.9512595729. The cubic root of 72147208 is about 416.3000947324.

The spelling of 72147208 in words is "seventy-two million, one hundred forty-seven thousand, two hundred eight".