72080800 has 72 divisors (see below), whose sum is σ = 191987712. Its totient is φ = 26208000.

The previous prime is 72080791. The next prime is 72080803. The reversal of 72080800 is 808027.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (72080803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4705 + ... + 12895.

It is an arithmetic number, because the mean of its divisors is an integer number (2666496).

Almost surely, 2^72080800 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 72080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95993856).

72080800 is an abundant number, since it is smaller than the sum of its proper divisors (119906912).

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

72080800 is a wasteful number, since it uses less digits than its factorization.

72080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 72080800 is about 8490.0412248705. The cubic root of 72080800 is about 416.1723275189.

Adding to 72080800 its reverse (808027), we get a palindrome (72888827).

The spelling of 72080800 in words is "seventy-two million, eighty thousand, eight hundred".