72093600 has 432 divisors, whose sum is σ = 292481280. Its totient is φ = 16588800.

The previous prime is 72093587. The next prime is 72093607. The reversal of 72093600 is 639027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72093607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2325585 + ... + 2325615.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 2^72093600 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 72093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

72093600 is an abundant number, since it is smaller than the sum of its proper divisors (220387680).

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

72093600 is a wasteful number, since it uses less digits than its factorization.

72093600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72093600 is about 8490.7950157803. The cubic root of 72093600 is about 416.1969604794.

The spelling of 72093600 in words is "seventy-two million, ninety-three thousand, six hundred".