72726552000000 has 1120 divisors, whose sum is σ = 280809905587200. Its totient is φ = 18549273600000.

The previous prime is 72726551999963. The next prime is 72726552000001. The reversal of 72726552000000 is 25562727.

72726552000000 is a `hidden beast` number, since 7 + 2 + 72 + 65 + 520 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72726552000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4967992681 + ... + 4968007319.

Almost surely, 2^{72726552000000} 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 72726552000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140404952793600).

72726552000000 is an abundant number, since it is smaller than the sum of its proper divisors (208083353587200).

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

72726552000000 is an frugal number, since it uses more digits than its factorization.

72726552000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14719 (or 14672 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 72726552000000 its reverse (25562727), we get a palindrome (72726577562727).

The spelling of 72726552000000 in words is "seventy-two trillion, seven hundred twenty-six billion, five hundred fifty-two million", and thus it is an aban number.