72552460000000 has 288 divisors, whose sum is σ = 182354673795840. Its totient is φ = 28808064000000.

The previous prime is 72552459999991. The next prime is 72552460000003. The reversal of 72552460000000 is 6425527.

It is not an unprimeable number, because it can be changed into a prime (72552460000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2739986761 + ... + 2740013239.

It is an arithmetic number, because the mean of its divisors is an integer number (633175950680).

Almost surely, 2^{72552460000000} 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 72552460000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91177336897920).

72552460000000 is an abundant number, since it is smaller than the sum of its proper divisors (109802213795840).

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

72552460000000 is an frugal number, since it uses more digits than its factorization.

72552460000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26667 (or 26623 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

Adding to 72552460000000 its reverse (6425527), we get a palindrome (72552466425527).

The spelling of 72552460000000 in words is "seventy-two trillion, five hundred fifty-two billion, four hundred sixty million", and thus it is an aban number.