72771345237600 has 720 divisors, whose sum is σ = 274216697758080. Its totient is φ = 18760987238400.

The previous prime is 72771345237593. The next prime is 72771345237667. The reversal of 72771345237600 is 673254317727.

72771345237600 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 1 + 3 + 4 + 5 + 23 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2075072866 + ... + 2075107934.

It is an arithmetic number, because the mean of its divisors is an integer number (380856524664).

Almost surely, 2^{72771345237600} 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 72771345237600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137108348879040).

72771345237600 is an abundant number, since it is smaller than the sum of its proper divisors (201445352520480).

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

72771345237600 is a wasteful number, since it uses less digits than its factorization.

72771345237600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36165 (or 36143 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 54.

The spelling of 72771345237600 in words is "seventy-two trillion, seven hundred seventy-one billion, three hundred forty-five million, two hundred thirty-seven thousand, six hundred".