72134208 has 84 divisors (see below), whose sum is σ = 210251548. Its totient is φ = 23639040.

The previous prime is 72134191. The next prime is 72134239. The reversal of 72134208 is 80243127.

It can be written as a sum of positive squares in 2 ways, for example, as 16064064 + 56070144 = 4008^2 + 7488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34110 + ... + 36162.

Almost surely, 2^72134208 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 72134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105125774).

72134208 is an abundant number, since it is smaller than the sum of its proper divisors (138117340).

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

72134208 is a wasteful number, since it uses less digits than its factorization.

72134208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72134208 is about 8493.1859746505. The cubic root of 72134208 is about 416.2750892542.

The spelling of 72134208 in words is "seventy-two million, one hundred thirty-four thousand, two hundred eight".