72089600 has 114 divisors (see below), whose sum is σ = 195034764. Its totient is φ = 26214400.

The previous prime is 72089573. The next prime is 72089609. The reversal of 72089600 is 698027.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (72089609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6553595 + ... + 6553605.

Almost surely, 2^72089600 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 72089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97517382).

72089600 is an abundant number, since it is smaller than the sum of its proper divisors (122945164).

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

72089600 is an frugal number, since it uses more digits than its factorization.

72089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 72089600 is about 8490.5594633098. The cubic root of 72089600 is about 416.1892629924.

The spelling of 72089600 in words is "seventy-two million, eighty-nine thousand, six hundred".