72134400 has 324 divisors, whose sum is σ = 272338472. Its totient is φ = 16711680.

The previous prime is 72134399. The next prime is 72134437. The reversal of 72134400 is 443127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4243192 + ... + 4243208.

Almost surely, 2^72134400 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 72134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136169236).

72134400 is an abundant number, since it is smaller than the sum of its proper divisors (200204072).

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

72134400 is a wasteful number, since it uses less digits than its factorization.

72134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72134400 is about 8493.1972778218. The cubic root of 72134400 is about 416.2754585877.

Adding to 72134400 its reverse (443127), we get a palindrome (72577527).

The spelling of 72134400 in words is "seventy-two million, one hundred thirty-four thousand, four hundred".