72140800 has 72 divisors (see below), whose sum is σ = 178992450. Its totient is φ = 28835840.

The previous prime is 72140773. The next prime is 72140801. The reversal of 72140800 is 804127.

It can be written as a sum of positive squares in 3 ways, for example, as 29942784 + 42198016 = 5472^2 + 6496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72140801) 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 5 ways as a sum of consecutive naturals, for example, 50496 + ... + 51904.

Almost surely, 2^72140800 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 72140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89496225).

72140800 is an abundant number, since it is smaller than the sum of its proper divisors (106851650).

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

72140800 is a wasteful number, since it uses less digits than its factorization.

72140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 72140800 is about 8493.5740415917. The cubic root of 72140800 is about 416.2877693306.

Adding to 72140800 its reverse (804127), we get a palindrome (72944927).

The spelling of 72140800 in words is "seventy-two million, one hundred forty thousand, eight hundred".