72134200 has 48 divisors (see below), whose sum is σ = 169419960. Its totient is φ = 28560000.

The previous prime is 72134191. The next prime is 72134239. The reversal of 72134200 is 243127.

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, 18415 + ... + 21985.

Almost surely, 2^72134200 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 72134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84709980).

72134200 is an abundant number, since it is smaller than the sum of its proper divisors (97285760).

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

72134200 is a wasteful number, since it uses less digits than its factorization.

72134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 72134200 is about 8493.1855036847. The cubic root of 72134200 is about 416.2750738653.

Adding to 72134200 its reverse (243127), we get a palindrome (72377327).

The spelling of 72134200 in words is "seventy-two million, one hundred thirty-four thousand, two hundred".