72711697856400 has 360 divisors, whose sum is σ = 257723867366784. Its totient is φ = 18975370060800.

The previous prime is 72711697856393. The next prime is 72711697856401. The reversal of 72711697856400 is 465879611727.

72711697856400 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 1 + 69 + 7 + 8 + 564 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72711697856401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2873172547 + ... + 2873197853.

Almost surely, 2^{72711697856400} 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 72711697856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128861933683392).

72711697856400 is an abundant number, since it is smaller than the sum of its proper divisors (185012169510384).

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

72711697856400 is a wasteful number, since it uses less digits than its factorization.

72711697856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42359 (or 42345 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 72711697856400 in words is "seventy-two trillion, seven hundred eleven billion, six hundred ninety-seven million, eight hundred fifty-six thousand, four hundred".