72270024052400 has 240 divisors, whose sum is σ = 183179331635520. Its totient is φ = 27346611916800.

The previous prime is 72270024052337. The next prime is 72270024052451. The reversal of 72270024052400 is 425042007227.

72270024052400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542448194 + ... + 542581406.

It is an arithmetic number, because the mean of its divisors is an integer number (763247215148).

Almost surely, 2^{72270024052400} 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 72270024052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91589665817760).

72270024052400 is an abundant number, since it is smaller than the sum of its proper divisors (110909307583120).

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

72270024052400 is a wasteful number, since it uses less digits than its factorization.

72270024052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133904 (or 133893 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 35.

Adding to 72270024052400 its reverse (425042007227), we get a palindrome (72695066059627).

The spelling of 72270024052400 in words is "seventy-two trillion, two hundred seventy billion, twenty-four million, fifty-two thousand, four hundred".