72892473139200 has 2688 divisors, whose sum is σ = 308144507489280. Its totient is φ = 14925850214400.

The previous prime is 72892473139169. The next prime is 72892473139201. The reversal of 72892473139200 is 293137429827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72892473139201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55263436141 + ... + 55263437459.

It is an arithmetic number, because the mean of its divisors is an integer number (114637093560).

Almost surely, 2^{72892473139200} 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 72892473139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154072253744640).

72892473139200 is an abundant number, since it is smaller than the sum of its proper divisors (235252034350080).

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

72892473139200 is a wasteful number, since it uses less digits than its factorization.

72892473139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 72892473139200 in words is "seventy-two trillion, eight hundred ninety-two billion, four hundred seventy-three million, one hundred thirty-nine thousand, two hundred".