72647200 has 72 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 28627200.

The previous prime is 72647189. The next prime is 72647209. The reversal of 72647200 is 274627.

It is not an unprimeable number, because it can be changed into a prime (72647209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56161 + ... + 57439.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^72647200 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 72647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

72647200 is an abundant number, since it is smaller than the sum of its proper divisors (107341280).

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

72647200 is a wasteful number, since it uses less digits than its factorization.

72647200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 72647200 is about 8523.3326815278. The cubic root of 72647200 is about 417.2595577301.

The spelling of 72647200 in words is "seventy-two million, six hundred forty-seven thousand, two hundred".