72786411907200 has 3072 divisors, whose sum is σ = 301574298009600. Its totient is φ = 17055940608000.

The previous prime is 72786411907163. The next prime is 72786411907243. The reversal of 72786411907200 is 270911468727.

72786411907200 is a `hidden beast` number, since 7 + 2 + 78 + 6 + 411 + 90 + 72 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 237089289447 + ... + 237089289753.

It is an arithmetic number, because the mean of its divisors is an integer number (98168716800).

Almost surely, 2^{72786411907200} 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 72786411907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150787149004800).

72786411907200 is an abundant number, since it is smaller than the sum of its proper divisors (228787886102400).

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

72786411907200 is a wasteful number, since it uses less digits than its factorization.

72786411907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 72786411907200 in words is "seventy-two trillion, seven hundred eighty-six billion, four hundred eleven million, nine hundred seven thousand, two hundred".