72736480051200 has 5040 divisors, whose sum is σ = 345330374941440. Its totient is φ = 14799014461440.

The previous prime is 72736480051187. The next prime is 72736480051231. The reversal of 72736480051200 is 215008463727.

72736480051200 is a `hidden beast` number, since 7 + 2 + 7 + 364 + 80 + 0 + 5 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 817263820756 + ... + 817263820844.

It is an arithmetic number, because the mean of its divisors is an integer number (68517931536).

Almost surely, 2^{72736480051200} is an apocalyptic number.

72736480051200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72736480051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172665187470720).

72736480051200 is an abundant number, since it is smaller than the sum of its proper divisors (272593894890240).

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

72736480051200 is an equidigital number, since it uses as much as digits as its factorization.

72736480051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72736480051200 in words is "seventy-two trillion, seven hundred thirty-six billion, four hundred eighty million, fifty-one thousand, two hundred".