72727636000000 has 126 divisors (see below), whose sum is σ = 181461661831310. Its totient is φ = 29091052800000.

The previous prime is 72727635999937. The next prime is 72727636000087. The reversal of 72727636000000 is 63672727.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 67565506590976 + 5162129409024 = 8219824^2 + 2272032^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5090955 + ... + 13090954.

Almost surely, 2^{72727636000000} is an apocalyptic number.

It is an amenable number.

72727636000000 is an abundant number, since it is smaller than the sum of its proper divisors (108734025831310).

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

72727636000000 is an frugal number, since it uses more digits than its factorization.

72727636000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18181955 (or 18181916 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

Adding to 72727636000000 its reverse (63672727), we get a palindrome (72727699672727).

The spelling of 72727636000000 in words is "seventy-two trillion, seven hundred twenty-seven billion, six hundred thirty-six million", and thus it is an aban number.