72432800 has 72 divisors (see below), whose sum is σ = 192925152. Its totient is φ = 26336000.

The previous prime is 72432797. The next prime is 72432839. The reversal of 72432800 is 823427.

It is a self number, because there is not a number n which added to its sum of digits gives 72432800.

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, 4685 + ... + 12915.

It is an arithmetic number, because the mean of its divisors is an integer number (2679516).

Almost surely, 2^72432800 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 72432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96462576).

72432800 is an abundant number, since it is smaller than the sum of its proper divisors (120492352).

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

72432800 is a wasteful number, since it uses less digits than its factorization.

72432800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 72432800 is about 8510.7461482528. The cubic root of 72432800 is about 416.8486742620.

The spelling of 72432800 in words is "seventy-two million, four hundred thirty-two thousand, eight hundred".