72748094284800 has 3168 divisors, whose sum is σ = 308401751024640. Its totient is φ = 16833783398400.

The previous prime is 72748094284793. The next prime is 72748094284883. The reversal of 72748094284800 is 848249084727.

72748094284800 is a `hidden beast` number, since 7 + 2 + 7 + 48 + 0 + 94 + 28 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×72748094284800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 149380070157 + ... + 149380070643.

Almost surely, 2^{72748094284800} 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 72748094284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154200875512320).

72748094284800 is an abundant number, since it is smaller than the sum of its proper divisors (235653656739840).

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

72748094284800 is a wasteful number, since it uses less digits than its factorization.

72748094284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 72748094284800 in words is "seventy-two trillion, seven hundred forty-eight billion, ninety-four million, two hundred eighty-four thousand, eight hundred".